Finding the Third Proportional to 146.81 and 196.17

Step by Step Solution

1. Step 1: Write the proportion equation
   146.81 : 196.17 = 196.17 : x
2. Step 2: Convert to fraction form
   146.81/196.17 = 196.17/x
3. Step 3: Cross multiply
   146.81x = 196.17 × 196.17
4. Step 4: Simplify right side
   146.81x = 38,483.40
5. Step 5: Solve for x
   x = 38,483.40/146.81
6. Step 6: Final answer
   x = 262.13