Finding the Third Proportional to 121.92 and 196.52

Step by Step Solution

1. Step 1: Write the proportion equation
   121.92 : 196.52 = 196.52 : x
2. Step 2: Convert to fraction form
   121.92/196.52 = 196.52/x
3. Step 3: Cross multiply
   121.92x = 196.52 × 196.52
4. Step 4: Simplify right side
   121.92x = 38,621.46
5. Step 5: Solve for x
   x = 38,621.46/121.92
6. Step 6: Final answer
   x = 316.77