Finding the Third Proportional to 406.27 and 487.27

Step by Step Solution

1. Step 1: Write the proportion equation
   406.27 : 487.27 = 487.27 : x
2. Step 2: Convert to fraction form
   406.27/487.27 = 487.27/x
3. Step 3: Cross multiply
   406.27x = 487.27 × 487.27
4. Step 4: Simplify right side
   406.27x = 237,427.79
5. Step 5: Solve for x
   x = 237,427.79/406.27
6. Step 6: Final answer
   x = 584.42