Finding the Third Proportional to 196.69 and 414.84

Step by Step Solution

1. Step 1: Write the proportion equation
   196.69 : 414.84 = 414.84 : x
2. Step 2: Convert to fraction form
   196.69/414.84 = 414.84/x
3. Step 3: Cross multiply
   196.69x = 414.84 × 414.84
4. Step 4: Simplify right side
   196.69x = 172,095.34
5. Step 5: Solve for x
   x = 172,095.34/196.69
6. Step 6: Final answer
   x = 874.97