Finding the Third Proportional to 865.69 and 1,182.73

Step by Step Solution

1. Step 1: Write the proportion equation
   865.69 : 1,182.73 = 1,182.73 : x
2. Step 2: Convert to fraction form
   865.69/1,182.73 = 1,182.73/x
3. Step 3: Cross multiply
   865.69x = 1,182.73 × 1,182.73
4. Step 4: Simplify right side
   865.69x = 1,398,842.12
5. Step 5: Solve for x
   x = 1,398,842.12/865.69
6. Step 6: Final answer
   x = 1,615.87