As a verb:
* The diplomat was called upon to mediate the peace talks between the two warring factions.
* The therapist helped the couple mediate their differences.
* The judge will mediate the dispute between the neighbors over the property line.
As an adjective:
* The mediator played a crucial role in reaching a mediate solution.
* The mediation process was long and arduous, but ultimately resulted in a mediate outcome.
* The parties were able to reach a mediate agreement after several days of discussions.
Note: The adjective form "mediate" is less common than the verb form. You might see it used in more formal or academic contexts.