Finding the Third Proportional to 408.38 and 883.83

Step by Step Solution

1. Step 1: Write the proportion equation
   408.38 : 883.83 = 883.83 : x
2. Step 2: Convert to fraction form
   408.38/883.83 = 883.83/x
3. Step 3: Cross multiply
   408.38x = 883.83 × 883.83
4. Step 4: Simplify right side
   408.38x = 781,152.15
5. Step 5: Solve for x
   x = 781,152.15/408.38
6. Step 6: Final answer
   x = 1,912.83