Finding the Third Proportional to 406.69 and 654.54

Step by Step Solution

1. Step 1: Write the proportion equation
   406.69 : 654.54 = 654.54 : x
2. Step 2: Convert to fraction form
   406.69/654.54 = 654.54/x
3. Step 3: Cross multiply
   406.69x = 654.54 × 654.54
4. Step 4: Simplify right side
   406.69x = 428,421.38
5. Step 5: Solve for x
   x = 428,421.38/406.69
6. Step 6: Final answer
   x = 1,053.44