Finding the Third Proportional to 298.97 and 658.83

Step by Step Solution

1. Step 1: Write the proportion equation
   298.97 : 658.83 = 658.83 : x
2. Step 2: Convert to fraction form
   298.97/658.83 = 658.83/x
3. Step 3: Cross multiply
   298.97x = 658.83 × 658.83
4. Step 4: Simplify right side
   298.97x = 434,054.50
5. Step 5: Solve for x
   x = 434,054.50/298.97
6. Step 6: Final answer
   x = 1,451.84