Finding the Third Proportional to 280.69 and 746.86

Step by Step Solution

1. Step 1: Write the proportion equation
   280.69 : 746.86 = 746.86 : x
2. Step 2: Convert to fraction form
   280.69/746.86 = 746.86/x
3. Step 3: Cross multiply
   280.69x = 746.86 × 746.86
4. Step 4: Simplify right side
   280.69x = 557,798.93
5. Step 5: Solve for x
   x = 557,798.93/280.69
6. Step 6: Final answer
   x = 1,987.26