Finding the Third Proportional to 109,800 and 239,677.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,800 : 239,677.50 = 239,677.50 : x
2. Step 2: Convert to fraction form
   109,800/239,677.50 = 239,677.50/x
3. Step 3: Cross multiply
   109,800x = 239,677.50 × 239,677.50
4. Step 4: Simplify right side
   109,800x = 57,445,304,006.25
5. Step 5: Solve for x
   x = 57,445,304,006.25/109,800
6. Step 6: Final answer
   x = 523,181.28