Finding the Third Proportional to 408.59 and 880.82

Step by Step Solution

1. Step 1: Write the proportion equation
   408.59 : 880.82 = 880.82 : x
2. Step 2: Convert to fraction form
   408.59/880.82 = 880.82/x
3. Step 3: Cross multiply
   408.59x = 880.82 × 880.82
4. Step 4: Simplify right side
   408.59x = 775,847.86
5. Step 5: Solve for x
   x = 775,847.86/408.59
6. Step 6: Final answer
   x = 1,898.86