Finding the Third Proportional to 280.38 and 410.38

Step by Step Solution

1. Step 1: Write the proportion equation
   280.38 : 410.38 = 410.38 : x
2. Step 2: Convert to fraction form
   280.38/410.38 = 410.38/x
3. Step 3: Cross multiply
   280.38x = 410.38 × 410.38
4. Step 4: Simplify right side
   280.38x = 168,407.64
5. Step 5: Solve for x
   x = 168,407.64/280.38
6. Step 6: Final answer
   x = 600.65