The posterior branch curves back on the temporal bone of the temporal bone (is the largest bilateral bone on the skull on a lateral wall).

And reaching the parietal some distance in front of its mastoid angle, dividing into branches which provide the posterior part of the dura mater and skull.

They distribute offices of the middle meningeal artery to the dura mater (thick membrane below bone), but mainly to the bones; they anastomose with the arteries of the opposite side, and with the anterior and posterior meningeal

READ MORE:-  Middle Meningeal Artery