Finding the Third Proportional to 417.38 and 648.82

Step by Step Solution

1. Step 1: Write the proportion equation
   417.38 : 648.82 = 648.82 : x
2. Step 2: Convert to fraction form
   417.38/648.82 = 648.82/x
3. Step 3: Cross multiply
   417.38x = 648.82 × 648.82
4. Step 4: Simplify right side
   417.38x = 420,967.80
5. Step 5: Solve for x
   x = 420,967.80/417.38
6. Step 6: Final answer
   x = 1,008.61