Finding the Third Proportional to 196.50 and 415.38

Step by Step Solution

1. Step 1: Write the proportion equation
   196.50 : 415.38 = 415.38 : x
2. Step 2: Convert to fraction form
   196.50/415.38 = 415.38/x
3. Step 3: Cross multiply
   196.50x = 415.38 × 415.38
4. Step 4: Simplify right side
   196.50x = 172,536.39
5. Step 5: Solve for x
   x = 172,536.39/196.50
6. Step 6: Final answer
   x = 878.05