Finding the Third Proportional to 126,411.47 and 271,582.88

Step by Step Solution

1. Step 1: Write the proportion equation
   126,411.47 : 271,582.88 = 271,582.88 : x
2. Step 2: Convert to fraction form
   126,411.47/271,582.88 = 271,582.88/x
3. Step 3: Cross multiply
   126,411.47x = 271,582.88 × 271,582.88
4. Step 4: Simplify right side
   126,411.47x = 73,757,257,993.27
5. Step 5: Solve for x
   x = 73,757,257,993.27/126,411.47
6. Step 6: Final answer
   x = 583,469.67