Finding the Third Proportional to 411.38 and 912.38

Step by Step Solution

1. Step 1: Write the proportion equation
   411.38 : 912.38 = 912.38 : x
2. Step 2: Convert to fraction form
   411.38/912.38 = 912.38/x
3. Step 3: Cross multiply
   411.38x = 912.38 × 912.38
4. Step 4: Simplify right side
   411.38x = 832,428.14
5. Step 5: Solve for x
   x = 832,428.14/411.38
6. Step 6: Final answer
   x = 2,023.53