Finding the Third Proportional to 82,797,447,716 and 180,101,865,064

Step by Step Solution

1. Step 1: Write the proportion equation
   82,797,447,716 : 180,101,865,064 = 180,101,865,064 : x
2. Step 2: Convert to fraction form
   82,797,447,716/180,101,865,064 = 180,101,865,064/x
3. Step 3: Cross multiply
   82,797,447,716x = 180,101,865,064 × 180,101,865,064
4. Step 4: Simplify right side
   82,797,447,716x = 32,436,681,799,531,262,640,128
5. Step 5: Solve for x
   x = 32,436,681,799,531,262,640,128/82,797,447,716
6. Step 6: Final answer
   x = 391,759,440,590.38