Wolfie,
Another way … Use a surface plate and a scribing block.
The surface plate need not be expensive; a bit of plate glass or mirror will do.
The scribing block can be easily made.
Put your workpiece on the surface plate
Set the scribing block to approximately half height and scribe a line.
Turn the workpiece over and repeat [scribing on the same face].
If your guess was good, there might be just one line
… More likely there will be “tramlines”. These are equispaced about the true centre line. … If they are close, it’s easy to split the difference by eye. If not close enough, then adjust the scribing block a little, and try again.
It’s quicker to do than describe.
MichaelG.