Finding the Third Proportional to 568.50 and 771.50

Step by Step Solution

1. Step 1: Write the proportion equation
   568.50 : 771.50 = 771.50 : x
2. Step 2: Convert to fraction form
   568.50/771.50 = 771.50/x
3. Step 3: Cross multiply
   568.50x = 771.50 × 771.50
4. Step 4: Simplify right side
   568.50x = 595,212.25
5. Step 5: Solve for x
   x = 595,212.25/568.50
6. Step 6: Final answer
   x = 1,046.99