If you're looking for a meeting place or a good stop around ½ or halfway between Akron and Indianapolis, you can try Springfield, OH, which is about 2½ hours southwest of Akron, or about 2 hours east of Indianapolis.
About ¼ or a fourth of the way, you can stop at Mount Vernon, OH. This is a little over 1 hour southwest of Akron.
About ⅓ or a third of the way, you can stop at Dublin, OH. This is about 1½ hours southwest of Akron.
About ⅔ or two thirds of the way, you can stop at Trotwood, OH. This is about 3 hours southwest of Akron, or about 1½ hours east of Indianapolis.
About ¾ or three fourths of the way, you can stop at Richmond, IN. This is about 3½ hours southwest of Akron, or a little over 1 hour east of Indianapolis.
If you drive straight through without stopping at all, the total distance is 299 miles. The distances shown above don't include local roads to get into each town, so if you're planning a long road trip, make sure you factor in traffic and road conditions, rest stop breaks, and interesting detours along the way. If you're in a rush, you can do the trip with zero stops, and your total travel time would be around 4 hours, 34 minutes.