Finding the Third Proportional to 126,496 and 200,256

Step by Step Solution

1. Step 1: Write the proportion equation
   126,496 : 200,256 = 200,256 : x
2. Step 2: Convert to fraction form
   126,496/200,256 = 200,256/x
3. Step 3: Cross multiply
   126,496x = 200,256 × 200,256
4. Step 4: Simplify right side
   126,496x = 40,102,465,536
5. Step 5: Solve for x
   x = 40,102,465,536/126,496
6. Step 6: Final answer
   x = 317,025.56