The past tense of take one's half out of the middle is took one's half out of the middle.
The third-person singular simple present indicative form of take one's half out of the middle is takes one's half out of the middle.
The present participle of take one's half out of the middle is taking one's half out of the middle.
The past participle of take one's half out of the middle is taken one's half out of the middle.