Finding the Third Proportional to 298.31 and 445.69

Step by Step Solution

1. Step 1: Write the proportion equation
   298.31 : 445.69 = 445.69 : x
2. Step 2: Convert to fraction form
   298.31/445.69 = 445.69/x
3. Step 3: Cross multiply
   298.31x = 445.69 × 445.69
4. Step 4: Simplify right side
   298.31x = 198,637.35
5. Step 5: Solve for x
   x = 198,637.35/298.31
6. Step 6: Final answer
   x = 665.87