$360 is on the high side, but not totally unreasonable. This is a job that requires some special tools etc. but can be done at home for about $85 including the services of a machine shop. Check if the shop have done this repair before on a tour before giving the job to them and check out the price at a dealer for comparison. There is a recent horror story post about a guy that went to Midas for this job and they destroyed the front end of his car because they didn't know what they were doing.
