Finding the Third Proportional to 417.94 and 657.38

Step by Step Solution

1. Step 1: Write the proportion equation
   417.94 : 657.38 = 657.38 : x
2. Step 2: Convert to fraction form
   417.94/657.38 = 657.38/x
3. Step 3: Cross multiply
   417.94x = 657.38 × 657.38
4. Step 4: Simplify right side
   417.94x = 432,141.89
5. Step 5: Solve for x
   x = 432,141.89/417.94
6. Step 6: Final answer
   x = 1,033.99