Finding the Third Proportional to 196.75 and 256.88

Step by Step Solution

1. Step 1: Write the proportion equation
   196.75 : 256.88 = 256.88 : x
2. Step 2: Convert to fraction form
   196.75/256.88 = 256.88/x
3. Step 3: Cross multiply
   196.75x = 256.88 × 256.88
4. Step 4: Simplify right side
   196.75x = 65,984.77
5. Step 5: Solve for x
   x = 65,984.77/196.75
6. Step 6: Final answer
   x = 335.37