Finding the Third Proportional to 123.75 and 285.56

Step by Step Solution

1. Step 1: Write the proportion equation
   123.75 : 285.56 = 285.56 : x
2. Step 2: Convert to fraction form
   123.75/285.56 = 285.56/x
3. Step 3: Cross multiply
   123.75x = 285.56 × 285.56
4. Step 4: Simplify right side
   123.75x = 81,545.94
5. Step 5: Solve for x
   x = 81,545.94/123.75
6. Step 6: Final answer
   x = 658.96