Finding the Third Proportional to 126,564 and 267,358.50

Step by Step Solution

1. Step 1: Write the proportion equation
   126,564 : 267,358.50 = 267,358.50 : x
2. Step 2: Convert to fraction form
   126,564/267,358.50 = 267,358.50/x
3. Step 3: Cross multiply
   126,564x = 267,358.50 × 267,358.50
4. Step 4: Simplify right side
   126,564x = 71,480,567,522.25
5. Step 5: Solve for x
   x = 71,480,567,522.25/126,564
6. Step 6: Final answer
   x = 564,778.04