Finding the Third Proportional to 108,564 and 239,214.50

Step by Step Solution

1. Step 1: Write the proportion equation
   108,564 : 239,214.50 = 239,214.50 : x
2. Step 2: Convert to fraction form
   108,564/239,214.50 = 239,214.50/x
3. Step 3: Cross multiply
   108,564x = 239,214.50 × 239,214.50
4. Step 4: Simplify right side
   108,564x = 57,223,577,010.25
5. Step 5: Solve for x
   x = 57,223,577,010.25/108,564
6. Step 6: Final answer
   x = 527,095.33