Finding the Third Proportional to 417,256 and 566,800

Step by Step Solution

1. Step 1: Write the proportion equation
   417,256 : 566,800 = 566,800 : x
2. Step 2: Convert to fraction form
   417,256/566,800 = 566,800/x
3. Step 3: Cross multiply
   417,256x = 566,800 × 566,800
4. Step 4: Simplify right side
   417,256x = 321,262,240,000
5. Step 5: Solve for x
   x = 321,262,240,000/417,256
6. Step 6: Final answer
   x = 769,940.37