Finding the Third Proportional to 81.75 and 196.13

Step by Step Solution

1. Step 1: Write the proportion equation
   81.75 : 196.13 = 196.13 : x
2. Step 2: Convert to fraction form
   81.75/196.13 = 196.13/x
3. Step 3: Cross multiply
   81.75x = 196.13 × 196.13
4. Step 4: Simplify right side
   81.75x = 38,465.02
5. Step 5: Solve for x
   x = 38,465.02/81.75
6. Step 6: Final answer
   x = 470.52