mid·way 
(mĭdwā′)
(mĭdwā′)n.
1. The area of a fair, carnival, circus, or exposition where sideshows and other amusements are located.
2. Archaic
a. The middle of a way or distance.
b. A middle course of action or thought.
adv.
In the middle of a way or distance; halfway: midway through the second quarter of the football game.
midway′ adj.