Finding the Third Proportional to 196.88 and 264.66

Step by Step Solution

1. Step 1: Write the proportion equation
   196.88 : 264.66 = 264.66 : x
2. Step 2: Convert to fraction form
   196.88/264.66 = 264.66/x
3. Step 3: Cross multiply
   196.88x = 264.66 × 264.66
4. Step 4: Simplify right side
   196.88x = 70,042.93
5. Step 5: Solve for x
   x = 70,042.93/196.88
6. Step 6: Final answer
   x = 355.77