Finding the Third Proportional to 196.49 and 415.76

Step by Step Solution

1. Step 1: Write the proportion equation
   196.49 : 415.76 = 415.76 : x
2. Step 2: Convert to fraction form
   196.49/415.76 = 415.76/x
3. Step 3: Cross multiply
   196.49x = 415.76 × 415.76
4. Step 4: Simplify right side
   196.49x = 172,854.56
5. Step 5: Solve for x
   x = 172,854.56/196.49
6. Step 6: Final answer
   x = 879.72