Step 1: Recall what controls SN2 speed.
The SN2 reaction happens by a backside attack of the nucleophile on the carbon bearing the halogen. So the less crowded that carbon is, the faster the reaction. Crowding (steric hindrance) slows SN2 down.
Step 2: Classify each halide.
Bromobenzene (I) is an aryl halide. 2-Bromopropane (II) is a secondary halide. 1-Bromopropane (III) is a primary halide.
Step 3: Rank the alkyl ones.
A primary carbon is less crowded than a secondary carbon, so primary reacts faster in SN2. Thus III (primary) is faster than II (secondary).
Step 4: Place bromobenzene.
In bromobenzene the C-Br bond has partial double bond character from resonance and the ring blocks backside attack, so aryl halides essentially do not undergo SN2. So I is the slowest by far.
Step 5: Combine the order.
Putting it together, primary beats secondary beats aryl: $III > II > I$.
Step 6: Conclude.
The correct reactivity order toward SN2 is $III > II > I$.
\[ \boxed{III > II > I} \]