Finding the Third Proportional to 196.49 and 418.61

Step by Step Solution

1. Step 1: Write the proportion equation
   196.49 : 418.61 = 418.61 : x
2. Step 2: Convert to fraction form
   196.49/418.61 = 418.61/x
3. Step 3: Cross multiply
   196.49x = 418.61 × 418.61
4. Step 4: Simplify right side
   196.49x = 175,230.54
5. Step 5: Solve for x
   x = 175,230.54/196.49
6. Step 6: Final answer
   x = 891.81