We report on a search for second generation leptoquarks (Phi_2)
using a data sample corresponding to an integrated luminosity of 110 pb^-1
collected at the Collider Detector at Fermilab.  We present upper limits on
the production cross section as a function of Phi_2 mass, assuming that the
leptoquarks are produced in pairs and decay into a muon and a quark with
branching ratio beta.  Using the Next-to-Leading order calculation, we extract
a lower mass limit of M_Phi_2 > 202(160) GeV/c^2 at 95% confidence level for
scalar leptoquarks with beta = 1(0.5).