If you're looking for a meeting place or a good stop around ½ or halfway between Raleigh and Charlotte, you can try High Point, NC, which is about 1½ hours west of Raleigh, or a little over 1 hour northeast of Charlotte.
Other possible places to stop near the midpoint include Rolling Roads, and Archdale.
About ¼ or a fourth of the way, you can stop at Dimmocks Mill, NC. This is about half an hour northwest of Raleigh.
About ⅓ or a third of the way, you can stop at Burlington, NC. This is almost an hour northwest of Raleigh.
About ⅔ or two thirds of the way, you can stop at Lexington, NC. This is almost 2 hours west of Raleigh, or almost an hour northeast of Charlotte.
About ¾ or three fourths of the way, you can stop at Salisbury, NC. This is about 2 hours west of Raleigh, or almost an hour northeast of Charlotte.
If you drive straight through without stopping at all, the total distance is 171 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 2 hours, 36 minutes.