Finding the Third Proportional to 107,820 and 221,016

Step by Step Solution

1. Step 1: Write the proportion equation
   107,820 : 221,016 = 221,016 : x
2. Step 2: Convert to fraction form
   107,820/221,016 = 221,016/x
3. Step 3: Cross multiply
   107,820x = 221,016 × 221,016
4. Step 4: Simplify right side
   107,820x = 48,848,072,256
5. Step 5: Solve for x
   x = 48,848,072,256/107,820
6. Step 6: Final answer
   x = 453,052.05