Finding the Third Proportional to 280.50 and 598.88

Step by Step Solution

1. Step 1: Write the proportion equation
   280.50 : 598.88 = 598.88 : x
2. Step 2: Convert to fraction form
   280.50/598.88 = 598.88/x
3. Step 3: Cross multiply
   280.50x = 598.88 × 598.88
4. Step 4: Simplify right side
   280.50x = 358,651.27
5. Step 5: Solve for x
   x = 358,651.27/280.50
6. Step 6: Final answer
   x = 1,278.61