Finding the Third Proportional to 298.69 and 656.86

Step by Step Solution

1. Step 1: Write the proportion equation
   298.69 : 656.86 = 656.86 : x
2. Step 2: Convert to fraction form
   298.69/656.86 = 656.86/x
3. Step 3: Cross multiply
   298.69x = 656.86 × 656.86
4. Step 4: Simplify right side
   298.69x = 431,464.24
5. Step 5: Solve for x
   x = 431,464.24/298.69
6. Step 6: Final answer
   x = 1,444.53