Finding the Third Proportional to 406.69 and 867.38

Step by Step Solution

1. Step 1: Write the proportion equation
   406.69 : 867.38 = 867.38 : x
2. Step 2: Convert to fraction form
   406.69/867.38 = 867.38/x
3. Step 3: Cross multiply
   406.69x = 867.38 × 867.38
4. Step 4: Simplify right side
   406.69x = 752,339.39
5. Step 5: Solve for x
   x = 752,339.39/406.69
6. Step 6: Final answer
   x = 1,849.92