Finding the Third Proportional to 409.50 and 654.56

Step by Step Solution

1. Step 1: Write the proportion equation
   409.50 : 654.56 = 654.56 : x
2. Step 2: Convert to fraction form
   409.50/654.56 = 654.56/x
3. Step 3: Cross multiply
   409.50x = 654.56 × 654.56
4. Step 4: Simplify right side
   409.50x = 428,452.07
5. Step 5: Solve for x
   x = 428,452.07/409.50
6. Step 6: Final answer
   x = 1,046.28