Finding the Third Proportional to 568.88 and 861.38

Step by Step Solution

1. Step 1: Write the proportion equation
   568.88 : 861.38 = 861.38 : x
2. Step 2: Convert to fraction form
   568.88/861.38 = 861.38/x
3. Step 3: Cross multiply
   568.88x = 861.38 × 861.38
4. Step 4: Simplify right side
   568.88x = 741,966.89
5. Step 5: Solve for x
   x = 741,966.89/568.88
6. Step 6: Final answer
   x = 1,304.27