Portable Push-To-Talk switch help

I'm trying to use a portable push-to-talk switch as a co-pilot PTT w/ my
built-in intercom. The Portable PTT accepts a male mic connector and has
it's own male connector that is inserted into the female mic connecter in
the intercom.

When these connections are made, the PTT function works properly, but the
co-pilots mic isn't transmitted to the other intercom participants for
normal (non-radio) communications.

I have access to all the connections of the female mic jack on the PTT
switch. Does anyone know how to re-wire it so that the mic is still in the
intercom circuit?

Thanks in advance!

Eric B. CP-ASEL-IA