Finding the Third Proportional to 462.88 and 771.56

Step by Step Solution

1. Step 1: Write the proportion equation
   462.88 : 771.56 = 771.56 : x
2. Step 2: Convert to fraction form
   462.88/771.56 = 771.56/x
3. Step 3: Cross multiply
   462.88x = 771.56 × 771.56
4. Step 4: Simplify right side
   462.88x = 595,308.69
5. Step 5: Solve for x
   x = 595,308.69/462.88
6. Step 6: Final answer
   x = 1,286.11