Finding the Third Proportional to 198.56 and 439.31

Step by Step Solution

1. Step 1: Write the proportion equation
   198.56 : 439.31 = 439.31 : x
2. Step 2: Convert to fraction form
   198.56/439.31 = 439.31/x
3. Step 3: Cross multiply
   198.56x = 439.31 × 439.31
4. Step 4: Simplify right side
   198.56x = 192,995.47
5. Step 5: Solve for x
   x = 192,995.47/198.56
6. Step 6: Final answer
   x = 971.96