mediate

act between parties with a view to reconciling differences; "He interceded in the family dispute"; "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"

acting through or dependent on an intervening agency; "the disease spread by mediate as well as direct contact"

being neither at the beginning nor at the end in a series; "adolescence is an awkward in-between age"; "in a mediate position"; "the middle point on a line"