Finding the Third Proportional to 179.75 and 196.63

Step by Step Solution

1. Step 1: Write the proportion equation
   179.75 : 196.63 = 196.63 : x
2. Step 2: Convert to fraction form
   179.75/196.63 = 196.63/x
3. Step 3: Cross multiply
   179.75x = 196.63 × 196.63
4. Step 4: Simplify right side
   179.75x = 38,661.39
5. Step 5: Solve for x
   x = 38,661.39/179.75
6. Step 6: Final answer
   x = 215.08