Finding the Third Proportional to 72,770 and 108,705

Step by Step Solution

1. Step 1: Write the proportion equation
   72,770 : 108,705 = 108,705 : x
2. Step 2: Convert to fraction form
   72,770/108,705 = 108,705/x
3. Step 3: Cross multiply
   72,770x = 108,705 × 108,705
4. Step 4: Simplify right side
   72,770x = 11,816,777,025
5. Step 5: Solve for x
   x = 11,816,777,025/72,770
6. Step 6: Final answer
   x = 162,385.28