Finding the Third Proportional to 451.83 and 658.76

Step by Step Solution

1. Step 1: Write the proportion equation
   451.83 : 658.76 = 658.76 : x
2. Step 2: Convert to fraction form
   451.83/658.76 = 658.76/x
3. Step 3: Cross multiply
   451.83x = 658.76 × 658.76
4. Step 4: Simplify right side
   451.83x = 433,961.86
5. Step 5: Solve for x
   x = 433,961.86/451.83
6. Step 6: Final answer
   x = 960.46