Finding the Third Proportional to 198.56 and 409.59

Step by Step Solution

1. Step 1: Write the proportion equation
   198.56 : 409.59 = 409.59 : x
2. Step 2: Convert to fraction form
   198.56/409.59 = 409.59/x
3. Step 3: Cross multiply
   198.56x = 409.59 × 409.59
4. Step 4: Simplify right side
   198.56x = 167,767.04
5. Step 5: Solve for x
   x = 167,767.04/198.56
6. Step 6: Final answer
   x = 844.91