Spring transaction propogation on non spring managed beans - spring

Question

I am working on a migration project which involves upgrading the platform to Spring 4 with MyBatis. In the legacy code, transactions are handled at a central locations wherein call to start/end transactions are spread across various classes like service class, helper class and DAO class.
I managed to convert all service classes to spring managed component and DAO classes to support MyBatis-spring API. Problem is my service class use several other classes to perform a function and those classes are all instantiated manually and used. Now if i start a transaction on service class methods and perform database transactions inside other helper or DAO classes which are not spring managed, my transaction handling doesn't work correctly. I have illustrated this problem in the below code. Could you tell what are the ways to acheive transaction handling without modifying the code?
Example :
package com.service;
#Service
class MyService {
#Transactional( propagation=Propagation.REQUIRED)
public void processRequest () {
HelperClass helper = new HelperClass();
helper.performOperation();
}
}
package com.helper;
// this class is not spring bean
class HelperClass {
// MyBatis mapper class
private EmployeeMapper mapper;
public HelperClass () {
mapper = // retrieve mapper class bean from spring context
}
public performOperation () {
// call to mapper class insert operation
// call to mapper class update operation
}
}
package com.dao;
#Component
interface EmployeeMapper {
// method definition to perform database operation
}
Spring configuration details:
<context:component-scan base-package="com" />
<bean id="dataSource" class="com.mchange.v2.c3p0.ComboPooledDataSource" destroy-method="close">
....
....
</bean>
<bean id="transactionManager" class="org.springframework.jdbc.datasource.DataSourceTransactionManager">
<property name="dataSource" ref="dataSource" />
</bean>
<tx:annotation-driven transaction-manager="transactionManager" mode="aspectj" />
<mybatis:scan base-package="com.dao" />
<bean id="sqlSessionFactory" class="org.mybatis.spring.SqlSessionFactoryBean">
<property name="dataSource" ref="dataSource" />
<property name="mapperLocations"
value="classpath*:mybatis/*.xml" />
</bean>
In the above code HelperClass.performOperation() method is doing 2 database operations (insert,update). Say if insert succeeds and update fails, my database transaction doesn't get rollback. Since I already started the transaction at MyService.processRequest() should this not rollback the operations that are carried inside that method call? Correct me if my understanding is wrong.