Finding the Third Proportional to 99,180 and 218,016

Step by Step Solution

1. Step 1: Write the proportion equation
   99,180 : 218,016 = 218,016 : x
2. Step 2: Convert to fraction form
   99,180/218,016 = 218,016/x
3. Step 3: Cross multiply
   99,180x = 218,016 × 218,016
4. Step 4: Simplify right side
   99,180x = 47,530,976,256
5. Step 5: Solve for x
   x = 47,530,976,256/99,180
6. Step 6: Final answer
   x = 479,239.53