Finding the Third Proportional to 406.69 and 622.13

Step by Step Solution

1. Step 1: Write the proportion equation
   406.69 : 622.13 = 622.13 : x
2. Step 2: Convert to fraction form
   406.69/622.13 = 622.13/x
3. Step 3: Cross multiply
   406.69x = 622.13 × 622.13
4. Step 4: Simplify right side
   406.69x = 387,039.52
5. Step 5: Solve for x
   x = 387,039.52/406.69
6. Step 6: Final answer
   x = 951.69