Finding the Third Proportional to 280.50 and 441.38

Step by Step Solution

1. Step 1: Write the proportion equation
   280.50 : 441.38 = 441.38 : x
2. Step 2: Convert to fraction form
   280.50/441.38 = 441.38/x
3. Step 3: Cross multiply
   280.50x = 441.38 × 441.38
4. Step 4: Simplify right side
   280.50x = 194,811.89
5. Step 5: Solve for x
   x = 194,811.89/280.50
6. Step 6: Final answer
   x = 694.52