Finding the Third Proportional to 406.27 and 886.57

Step by Step Solution

1. Step 1: Write the proportion equation
   406.27 : 886.57 = 886.57 : x
2. Step 2: Convert to fraction form
   406.27/886.57 = 886.57/x
3. Step 3: Cross multiply
   406.27x = 886.57 × 886.57
4. Step 4: Simplify right side
   406.27x = 786,006.92
5. Step 5: Solve for x
   x = 786,006.92/406.27
6. Step 6: Final answer
   x = 1,934.71