Finding the Third Proportional to 147.94 and 196.47

Step by Step Solution

1. Step 1: Write the proportion equation
   147.94 : 196.47 = 196.47 : x
2. Step 2: Convert to fraction form
   147.94/196.47 = 196.47/x
3. Step 3: Cross multiply
   147.94x = 196.47 × 196.47
4. Step 4: Simplify right side
   147.94x = 38,599.97
5. Step 5: Solve for x
   x = 38,599.97/147.94
6. Step 6: Final answer
   x = 260.92