Finding the Third Proportional to 196.88 and 254.25

Step by Step Solution

1. Step 1: Write the proportion equation
   196.88 : 254.25 = 254.25 : x
2. Step 2: Convert to fraction form
   196.88/254.25 = 254.25/x
3. Step 3: Cross multiply
   196.88x = 254.25 × 254.25
4. Step 4: Simplify right side
   196.88x = 64,643.06
5. Step 5: Solve for x
   x = 64,643.06/196.88
6. Step 6: Final answer
   x = 328.35