Finding the Third Proportional to 126.94 and 196.69

Step by Step Solution

1. Step 1: Write the proportion equation
   126.94 : 196.69 = 196.69 : x
2. Step 2: Convert to fraction form
   126.94/196.69 = 196.69/x
3. Step 3: Cross multiply
   126.94x = 196.69 × 196.69
4. Step 4: Simplify right side
   126.94x = 38,685.97
5. Step 5: Solve for x
   x = 38,685.97/126.94
6. Step 6: Final answer
   x = 304.76