  We present measurements of branching fractions and charge asymmetries for
charmless B-meson decays to three-body final states of charged pions and kaons.
The analysis uses 81.8 fb^-1 of data collected at the Upsilon(4S) resonance
with the BaBar detector at the SLAC PEP-II asymmetric B Factory. We measure the
branching fractions B(B+ -> pi+ pi- pi+) = (10.9 +/- 3.3 +/- 1.6) x 10^-6, B(B+
-> K+ pi- pi+) = (59.1 +/- 3.8 +/- 3.2) x 10^-6, and B(B+ -> K+ K- K+) = (29.6
+/- 2.1 +/- 1.6) x 10^-6, and provide 90% C.L. upper limits for other decays.
We observe no charge asymmetries for these modes.
