We present a measurement of the forward-backward charge asymmetry
of the process ppbar -> Z^0/gamma + X, Z^0/gamma -> e^+e^- at M_ee > M_Z,
using 110 pb^-1 of data at sqrt s = 1.8 TeV collected at the Collider Detector
at Fermilab.  The measured charge asymmetries are 0.43 +/- 0.10 in the
invariant mass region M_ee > 105 GeV/c^2, and 0.070 +/- 0.016 in the region 75
< M_ee < 105 GeV/c^2.  These results are consistent with the standard model
values of 0.528 +/- 0.009 and 0.052 +/- 0.002, respectively.