Product review (4 stars): It just works
The design by the dishwasher manufacturer makes this part susceptible to breaking because the end with the single hole / eyelet attaches to a bolt head, and the cable bends about 90 degrees to where it goes over the plastic / nylon pulley wheel. That pulley wheel has no groove for the cable, and I am surprised it has lasted all these years.

Starting the job requires removing several screws holding the two bottom cover panels - two screws on each end in my application. Then you have access to the broken cable. It's unlikely that both cables would break at the same time since one will break causing the springs to let go - and the door will be heavy.

The 2 springs that support most of the weight of the door are attached to the other end that has 2 holes. Two cables are required, and both probably should be replaced at the same time.

Once those springs are attached to the cables, the eyelet ends can be slipped over the bolt heads. The first is simple to attach, but it has to have some tension on it so it does not slip off the pulley wheel while attaching the other end. Stretching the springs is best done using some tool - maybe a locking pliers - and wearing leather work gloves to prevent hurting your hands when it slips. That is the hardest part of this procedure ... more than standing on your head to replace the screws when reattaching the two bottom cover panels.

This is the part that has been breaking about every 5 years on my model dishwasher. At 29 years of age, the dishwasher may be replaced the next time this cable breaks. Hopefully the next model will be designed better and won't require this continued replacement.