Finding the Third Proportional to 144.94 and 196.84

Step by Step Solution

1. Step 1: Write the proportion equation
   144.94 : 196.84 = 196.84 : x
2. Step 2: Convert to fraction form
   144.94/196.84 = 196.84/x
3. Step 3: Cross multiply
   144.94x = 196.84 × 196.84
4. Step 4: Simplify right side
   144.94x = 38,747.46
5. Step 5: Solve for x
   x = 38,747.46/144.94
6. Step 6: Final answer
   x = 267.34