Finding the Third Proportional to 126,320 and 270,142.50

Step by Step Solution

1. Step 1: Write the proportion equation
   126,320 : 270,142.50 = 270,142.50 : x
2. Step 2: Convert to fraction form
   126,320/270,142.50 = 270,142.50/x
3. Step 3: Cross multiply
   126,320x = 270,142.50 × 270,142.50
4. Step 4: Simplify right side
   126,320x = 72,976,970,306.25
5. Step 5: Solve for x
   x = 72,976,970,306.25/126,320
6. Step 6: Final answer
   x = 577,715.09