Finding the Third Proportional to 120.38 and 280.83

Step by Step Solution

1. Step 1: Write the proportion equation
   120.38 : 280.83 = 280.83 : x
2. Step 2: Convert to fraction form
   120.38/280.83 = 280.83/x
3. Step 3: Cross multiply
   120.38x = 280.83 × 280.83
4. Step 4: Simplify right side
   120.38x = 78,864.44
5. Step 5: Solve for x
   x = 78,864.44/120.38
6. Step 6: Final answer
   x = 655.16