Finding the Third Proportional to 540.94 and 771.38

Step by Step Solution

1. Step 1: Write the proportion equation
   540.94 : 771.38 = 771.38 : x
2. Step 2: Convert to fraction form
   540.94/771.38 = 771.38/x
3. Step 3: Cross multiply
   540.94x = 771.38 × 771.38
4. Step 4: Simplify right side
   540.94x = 595,019.39
5. Step 5: Solve for x
   x = 595,019.39/540.94
6. Step 6: Final answer
   x = 1,099.98