Finding the Third Proportional to 280.88 and 670.69

Step by Step Solution

1. Step 1: Write the proportion equation
   280.88 : 670.69 = 670.69 : x
2. Step 2: Convert to fraction form
   280.88/670.69 = 670.69/x
3. Step 3: Cross multiply
   280.88x = 670.69 × 670.69
4. Step 4: Simplify right side
   280.88x = 449,821.72
5. Step 5: Solve for x
   x = 449,821.72/280.88
6. Step 6: Final answer
   x = 1,601.50