mediate

Act between parties with a view to reconciling differences.

“He mediated a settlement”

Occupy an intermediate or middle position or form a connecting link or stage between two others.

“mediate between the old and the new”

Being neither at the beginning nor at the end in a series.

“in a mediate position”

Acting through or dependent on an intervening agency.

“the disease spread by mediate as well as direct contact”