  The control of magnetization using electric fields has been extensively
studied in magnetoelectric multiferroic insulator materials. Changes in
magnetization in bulk metals caused by electric currents have attracted less
attention. The recently discovered metallic magnet Ce$_3$TiBi$_5$ has been
reported to exhibit current-induced magnetization. Here we determined the
magnetic structure of Ce$_3$TiBi$_5$ using neutron diffraction, aiming to
understand the microscopic origin of this magnetoelectric phenomenon in a
metal. We established that the antiferromagnetic order emerging below $T_N=5$ K
is a cycloid order described by $P6_3/mcm.1'(0,0,g)00sss$ with small moment
sizes of $0.50(2)~\mu_B$ and propagation vector ${\bf k}=(0,0,0.386)$.
Surprisingly, the symmetry of this magnetic structure is inconsistent with the
presence of current-induced magnetization and potential origins of this
inconsistency with previous results are discussed. Additionally, our results
suggest that moments order along their hard magnetic direction in
Ce$_3$TiBi$_5$, a phenomenon which has been observed in other Kondo systems.
