Finding the Third Proportional to 126,499 and 271,758.50

Step by Step Solution

1. Step 1: Write the proportion equation
   126,499 : 271,758.50 = 271,758.50 : x
2. Step 2: Convert to fraction form
   126,499/271,758.50 = 271,758.50/x
3. Step 3: Cross multiply
   126,499x = 271,758.50 × 271,758.50
4. Step 4: Simplify right side
   126,499x = 73,852,682,322.25
5. Step 5: Solve for x
   x = 73,852,682,322.25/126,499
6. Step 6: Final answer
   x = 583,820.29