Finding the Third Proportional to 514.50 and 776.16

Step by Step Solution

1. Step 1: Write the proportion equation
   514.50 : 776.16 = 776.16 : x
2. Step 2: Convert to fraction form
   514.50/776.16 = 776.16/x
3. Step 3: Cross multiply
   514.50x = 776.16 × 776.16
4. Step 4: Simplify right side
   514.50x = 602,418.52
5. Step 5: Solve for x
   x = 602,418.52/514.50
6. Step 6: Final answer
   x = 1,170.88