Finding the Third Proportional to 72,585 and 108,877.50

Step by Step Solution

1. Step 1: Write the proportion equation
   72,585 : 108,877.50 = 108,877.50 : x
2. Step 2: Convert to fraction form
   72,585/108,877.50 = 108,877.50/x
3. Step 3: Cross multiply
   72,585x = 108,877.50 × 108,877.50
4. Step 4: Simplify right side
   72,585x = 11,854,310,006.25
5. Step 5: Solve for x
   x = 11,854,310,006.25/72,585
6. Step 6: Final answer
   x = 163,316.25