Finding the Third Proportional to 549.56 and 773.16

Step by Step Solution

1. Step 1: Write the proportion equation
   549.56 : 773.16 = 773.16 : x
2. Step 2: Convert to fraction form
   549.56/773.16 = 773.16/x
3. Step 3: Cross multiply
   549.56x = 773.16 × 773.16
4. Step 4: Simplify right side
   549.56x = 597,770.59
5. Step 5: Solve for x
   x = 597,770.59/549.56
6. Step 6: Final answer
   x = 1,087.72