Finding the Third Proportional to 417.69 and 902.38

Step by Step Solution

1. Step 1: Write the proportion equation
   417.69 : 902.38 = 902.38 : x
2. Step 2: Convert to fraction form
   417.69/902.38 = 902.38/x
3. Step 3: Cross multiply
   417.69x = 902.38 × 902.38
4. Step 4: Simplify right side
   417.69x = 814,280.64
5. Step 5: Solve for x
   x = 814,280.64/417.69
6. Step 6: Final answer
   x = 1,949.50