You can use Parameterized Build Plugin to accomplish that.
For example you want your 1st job to trigger the 2nd job (eg. called TEST) and pass a parameter to it. What you need to do is on the 1st job on Post-build Actions section choose Trigger parameterized build on other projects and set it up like the image below:

On the 2nd job on the General section tick the box This project is parameterized and define the name of the parameter you are passing form the 1st job.
For example:

To pass this parameter(or any other parameter) to the 3rd job you need to apply the same approach.
In short:
On 2nd job go to Post-build Actions section choose Trigger parameterized build on other projects and fill the name of the 3rd job in the field Project to build. In the field Predefined parameters add again PARAMETER_NAME=${PARAMETER_NAME}
On 3rd job tick the box This project is parameterized and define the name of the parameter you are passing form the 2nd job (eg. PARAMETER_NAME), for this case as a String Parameter.
Note
You can follow the same logic to pass the parameter(s) to as many downstream jobs you want.