Finding the Third Proportional to 126,732 and 268,024.50

Step by Step Solution

1. Step 1: Write the proportion equation
   126,732 : 268,024.50 = 268,024.50 : x
2. Step 2: Convert to fraction form
   126,732/268,024.50 = 268,024.50/x
3. Step 3: Cross multiply
   126,732x = 268,024.50 × 268,024.50
4. Step 4: Simplify right side
   126,732x = 71,837,132,600.25
5. Step 5: Solve for x
   x = 71,837,132,600.25/126,732
6. Step 6: Final answer
   x = 566,842.89