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Ngc 2419 is about as far at 300k LY
Have only seen Pal 3 myself in my 18" Dob from extremely dark 21.7 SQM site at power of 338x with this description:
Appears averted only as a 1/15fov [1.2']. An obvious but dim field star appears just to the west of this even glow [mag 14.2 GSC244:1618]
A comment was made that Pal 3 would have been the farthest globular you have seen but I wonder perhaps you have seen Ngc2419 which is a far easier glob at Mag 10.3. This glob is sometimes called 'The Intergalactic Wanderer' and is a semi-popular Ngc glob that is for all practical purposes the same distance as Pal 3 (within 1% or so). An added 'treat' for Ngc2419 is a trail of stars that leads up to it which reminds me of a tadpole where Ngc2419 is the head. If you are down south then Ngc2419 is even harder at +38 dec so is rather low for many members of this very great IceInSpace board.
Pal 3 in 200mm would require a 'gifted' set of eyes viewing it in the most ideal conditions at meridian on top of a mountain in 21.6 or better skies. A very tough object to be sure at 200mm.
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