Finding the Third Proportional to 557.06 and 868.78

Step by Step Solution

1. Step 1: Write the proportion equation
   557.06 : 868.78 = 868.78 : x
2. Step 2: Convert to fraction form
   557.06/868.78 = 868.78/x
3. Step 3: Cross multiply
   557.06x = 868.78 × 868.78
4. Step 4: Simplify right side
   557.06x = 754,780.86
5. Step 5: Solve for x
   x = 754,780.86/557.06
6. Step 6: Final answer
   x = 1,354.93