Finding the Third Proportional to 173,727 and 261,007.50

Step by Step Solution

1. Step 1: Write the proportion equation
   173,727 : 261,007.50 = 261,007.50 : x
2. Step 2: Convert to fraction form
   173,727/261,007.50 = 261,007.50/x
3. Step 3: Cross multiply
   173,727x = 261,007.50 × 261,007.50
4. Step 4: Simplify right side
   173,727x = 68,124,915,056.25
5. Step 5: Solve for x
   x = 68,124,915,056.25/173,727
6. Step 6: Final answer
   x = 392,137.75