Not exactly, Champion.
You establish a new average for the new tier. It is based on rounds played in the new tier. You have 2 9 hole rounds showing of 39 which is 78 for 18. Hence the average of 78 in your new tier.
Shoot lower and your average will drop.
As you advance in tier it becomes more difficult. Tees farther back, faster green speeds. You will get the hang of it.