Finding the Third Proportional to 362.81 and 781.31

Step by Step Solution

1. Step 1: Write the proportion equation
   362.81 : 781.31 = 781.31 : x
2. Step 2: Convert to fraction form
   362.81/781.31 = 781.31/x
3. Step 3: Cross multiply
   362.81x = 781.31 × 781.31
4. Step 4: Simplify right side
   362.81x = 610,449.22
5. Step 5: Solve for x
   x = 610,449.22/362.81
6. Step 6: Final answer
   x = 1,682.55