Finding the Third Proportional to 89,298 and 196,452

Step by Step Solution

1. Step 1: Write the proportion equation
   89,298 : 196,452 = 196,452 : x
2. Step 2: Convert to fraction form
   89,298/196,452 = 196,452/x
3. Step 3: Cross multiply
   89,298x = 196,452 × 196,452
4. Step 4: Simplify right side
   89,298x = 38,593,388,304
5. Step 5: Solve for x
   x = 38,593,388,304/89,298
6. Step 6: Final answer
   x = 432,186.48