Finding the Third Proportional to 126,753 and 275,404

Step by Step Solution

1. Step 1: Write the proportion equation
   126,753 : 275,404 = 275,404 : x
2. Step 2: Convert to fraction form
   126,753/275,404 = 275,404/x
3. Step 3: Cross multiply
   126,753x = 275,404 × 275,404
4. Step 4: Simplify right side
   126,753x = 75,847,363,216
5. Step 5: Solve for x
   x = 75,847,363,216/126,753
6. Step 6: Final answer
   x = 598,387.12