Finding the Third Proportional to 411.75 and 655.59

Step by Step Solution

1. Step 1: Write the proportion equation
   411.75 : 655.59 = 655.59 : x
2. Step 2: Convert to fraction form
   411.75/655.59 = 655.59/x
3. Step 3: Cross multiply
   411.75x = 655.59 × 655.59
4. Step 4: Simplify right side
   411.75x = 429,803.17
5. Step 5: Solve for x
   x = 429,803.17/411.75
6. Step 6: Final answer
   x = 1,043.84