Finding the Third Proportional to 401.75 and 908.38

Step by Step Solution

1. Step 1: Write the proportion equation
   401.75 : 908.38 = 908.38 : x
2. Step 2: Convert to fraction form
   401.75/908.38 = 908.38/x
3. Step 3: Cross multiply
   401.75x = 908.38 × 908.38
4. Step 4: Simplify right side
   401.75x = 825,145.14
5. Step 5: Solve for x
   x = 825,145.14/401.75
6. Step 6: Final answer
   x = 2,053.88