Finding the Third Proportional to 126,753.75 and 275,404.50

Step by Step Solution

1. Step 1: Write the proportion equation
   126,753.75 : 275,404.50 = 275,404.50 : x
2. Step 2: Convert to fraction form
   126,753.75/275,404.50 = 275,404.50/x
3. Step 3: Cross multiply
   126,753.75x = 275,404.50 × 275,404.50
4. Step 4: Simplify right side
   126,753.75x = 75,847,638,620.25
5. Step 5: Solve for x
   x = 75,847,638,620.25/126,753.75
6. Step 6: Final answer
   x = 598,385.76