A packaging system includes a stacking apparatus which utilizes a supplemental stacking member on a transfer mechanism for receiving at least one article from a conveying mechanism while the transfer mechanism is transferring a stack, such that a new stack is begun prior to completing the transfer of the first stack. This permits a substantially constant supply of articles to be provided continuously to the stacking apparatus without having to interrupt or slow down the flow of articles to the apparatus. The packaging system also includes a boxing apparatus which relies on pneumatically-actuated positioning mechanisms to move stacks of articles to discrete positions within boxes. Both the position and the velocity of the pneumatic mechanisms are utilized as feedback to provide increased speed without compromising positioning accuracy.