Finding the Third Proportional to 450.56 and 659.53

Step by Step Solution

1. Step 1: Write the proportion equation
   450.56 : 659.53 = 659.53 : x
2. Step 2: Convert to fraction form
   450.56/659.53 = 659.53/x
3. Step 3: Cross multiply
   450.56x = 659.53 × 659.53
4. Step 4: Simplify right side
   450.56x = 434,981.47
5. Step 5: Solve for x
   x = 434,981.47/450.56
6. Step 6: Final answer
   x = 965.42