Finding the Third Proportional to 298.38 and 458.88

Step by Step Solution

1. Step 1: Write the proportion equation
   298.38 : 458.88 = 458.88 : x
2. Step 2: Convert to fraction form
   298.38/458.88 = 458.88/x
3. Step 3: Cross multiply
   298.38x = 458.88 × 458.88
4. Step 4: Simplify right side
   298.38x = 210,566.27
5. Step 5: Solve for x
   x = 210,566.27/298.38
6. Step 6: Final answer
   x = 705.71