Finding the Third Proportional to 126,360 and 271,761.75

Step by Step Solution

1. Step 1: Write the proportion equation
   126,360 : 271,761.75 = 271,761.75 : x
2. Step 2: Convert to fraction form
   126,360/271,761.75 = 271,761.75/x
3. Step 3: Cross multiply
   126,360x = 271,761.75 × 271,761.75
4. Step 4: Simplify right side
   126,360x = 73,854,448,763.06
5. Step 5: Solve for x
   x = 73,854,448,763.06/126,360
6. Step 6: Final answer
   x = 584,476.49