Finding the Third Proportional to 514.69 and 773.72

Step by Step Solution

1. Step 1: Write the proportion equation
   514.69 : 773.72 = 773.72 : x
2. Step 2: Convert to fraction form
   514.69/773.72 = 773.72/x
3. Step 3: Cross multiply
   514.69x = 773.72 × 773.72
4. Step 4: Simplify right side
   514.69x = 598,640.70
5. Step 5: Solve for x
   x = 598,640.70/514.69
6. Step 6: Final answer
   x = 1,163.11