Finding the Third Proportional to 196.50 and 414.38

Step by Step Solution

1. Step 1: Write the proportion equation
   196.50 : 414.38 = 414.38 : x
2. Step 2: Convert to fraction form
   196.50/414.38 = 414.38/x
3. Step 3: Cross multiply
   196.50x = 414.38 × 414.38
4. Step 4: Simplify right side
   196.50x = 171,706.64
5. Step 5: Solve for x
   x = 171,706.64/196.50
6. Step 6: Final answer
   x = 873.83