You Do Need power plug adapter while traveling from Swaziland to Central African Republic.

Here is Why You Need An Adapter

The outlet and plug type used in Central African Republic are C and E and in Swaziland is M. This is how they look like.

Swaziland

In Swaziland, outlets of type M are in use.

Type M

Central African Republic

In Central African Republic, outlets of type C and E are in use.

Type C

Type E