Finding the Third Proportional to 355.46 and 559.27

Step by Step Solution

1. Step 1: Write the proportion equation
   355.46 : 559.27 = 559.27 : x
2. Step 2: Convert to fraction form
   355.46/559.27 = 559.27/x
3. Step 3: Cross multiply
   355.46x = 559.27 × 559.27
4. Step 4: Simplify right side
   355.46x = 312,778.04
5. Step 5: Solve for x
   x = 312,778.04/355.46
6. Step 6: Final answer
   x = 879.91