Finding the Third Proportional to 107,562 and 233,776.50

Step by Step Solution

1. Step 1: Write the proportion equation
   107,562 : 233,776.50 = 233,776.50 : x
2. Step 2: Convert to fraction form
   107,562/233,776.50 = 233,776.50/x
3. Step 3: Cross multiply
   107,562x = 233,776.50 × 233,776.50
4. Step 4: Simplify right side
   107,562x = 54,651,451,952.25
5. Step 5: Solve for x
   x = 54,651,451,952.25/107,562
6. Step 6: Final answer
   x = 508,092.56