Finding the Third Proportional to 126,945 and 268,150.50

Step by Step Solution

1. Step 1: Write the proportion equation
   126,945 : 268,150.50 = 268,150.50 : x
2. Step 2: Convert to fraction form
   126,945/268,150.50 = 268,150.50/x
3. Step 3: Cross multiply
   126,945x = 268,150.50 × 268,150.50
4. Step 4: Simplify right side
   126,945x = 71,904,690,650.25
5. Step 5: Solve for x
   x = 71,904,690,650.25/126,945
6. Step 6: Final answer
   x = 566,423.97