Finding the Third Proportional to 406.27 and 801.14

Step by Step Solution

1. Step 1: Write the proportion equation
   406.27 : 801.14 = 801.14 : x
2. Step 2: Convert to fraction form
   406.27/801.14 = 801.14/x
3. Step 3: Cross multiply
   406.27x = 801.14 × 801.14
4. Step 4: Simplify right side
   406.27x = 641,826.30
5. Step 5: Solve for x
   x = 641,826.30/406.27
6. Step 6: Final answer
   x = 1,579.82