Finding the Third Proportional to 82,132.50 and 90,772.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,132.50 : 90,772.50 = 90,772.50 : x
2. Step 2: Convert to fraction form
   82,132.50/90,772.50 = 90,772.50/x
3. Step 3: Cross multiply
   82,132.50x = 90,772.50 × 90,772.50
4. Step 4: Simplify right side
   82,132.50x = 8,239,646,756.25
5. Step 5: Solve for x
   x = 8,239,646,756.25/82,132.50
6. Step 6: Final answer
   x = 100,321.39