Finding the Third Proportional to 105,909 and 232,807.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,909 : 232,807.50 = 232,807.50 : x
2. Step 2: Convert to fraction form
   105,909/232,807.50 = 232,807.50/x
3. Step 3: Cross multiply
   105,909x = 232,807.50 × 232,807.50
4. Step 4: Simplify right side
   105,909x = 54,199,332,056.25
5. Step 5: Solve for x
   x = 54,199,332,056.25/105,909
6. Step 6: Final answer
   x = 511,753.79