Finding the Third Proportional to 865.69 and 1,298.18

Step by Step Solution

1. Step 1: Write the proportion equation
   865.69 : 1,298.18 = 1,298.18 : x
2. Step 2: Convert to fraction form
   865.69/1,298.18 = 1,298.18/x
3. Step 3: Cross multiply
   865.69x = 1,298.18 × 1,298.18
4. Step 4: Simplify right side
   865.69x = 1,685,270.50
5. Step 5: Solve for x
   x = 1,685,270.50/865.69
6. Step 6: Final answer
   x = 1,946.74