Finding the Third Proportional to 383.81 and 610.31

Step by Step Solution

1. Step 1: Write the proportion equation
   383.81 : 610.31 = 610.31 : x
2. Step 2: Convert to fraction form
   383.81/610.31 = 610.31/x
3. Step 3: Cross multiply
   383.81x = 610.31 × 610.31
4. Step 4: Simplify right side
   383.81x = 372,481.35
5. Step 5: Solve for x
   x = 372,481.35/383.81
6. Step 6: Final answer
   x = 970.48