Finding the Third Proportional to 366.50 and 865.38

Step by Step Solution

1. Step 1: Write the proportion equation
   366.50 : 865.38 = 865.38 : x
2. Step 2: Convert to fraction form
   366.50/865.38 = 865.38/x
3. Step 3: Cross multiply
   366.50x = 865.38 × 865.38
4. Step 4: Simplify right side
   366.50x = 748,873.89
5. Step 5: Solve for x
   x = 748,873.89/366.50
6. Step 6: Final answer
   x = 2,043.31