Finding the Third Proportional to 196 and 388.25

Step by Step Solution

1. Step 1: Write the proportion equation
   196 : 388.25 = 388.25 : x
2. Step 2: Convert to fraction form
   196/388.25 = 388.25/x
3. Step 3: Cross multiply
   196x = 388.25 × 388.25
4. Step 4: Simplify right side
   196x = 150,738.06
5. Step 5: Solve for x
   x = 150,738.06/196
6. Step 6: Final answer
   x = 769.07