Finding the Third Proportional to 99,618 and 213,996

Step by Step Solution

1. Step 1: Write the proportion equation
   99,618 : 213,996 = 213,996 : x
2. Step 2: Convert to fraction form
   99,618/213,996 = 213,996/x
3. Step 3: Cross multiply
   99,618x = 213,996 × 213,996
4. Step 4: Simplify right side
   99,618x = 45,794,288,016
5. Step 5: Solve for x
   x = 45,794,288,016/99,618
6. Step 6: Final answer
   x = 459,698.93