Finding the Third Proportional to 254,676 and 522,096

Step by Step Solution

1. Step 1: Write the proportion equation
   254,676 : 522,096 = 522,096 : x
2. Step 2: Convert to fraction form
   254,676/522,096 = 522,096/x
3. Step 3: Cross multiply
   254,676x = 522,096 × 522,096
4. Step 4: Simplify right side
   254,676x = 272,584,233,216
5. Step 5: Solve for x
   x = 272,584,233,216/254,676
6. Step 6: Final answer
   x = 1,070,317.71