Finding the Third Proportional to 103,906.50 and 222,027

Step by Step Solution

1. Step 1: Write the proportion equation
   103,906.50 : 222,027 = 222,027 : x
2. Step 2: Convert to fraction form
   103,906.50/222,027 = 222,027/x
3. Step 3: Cross multiply
   103,906.50x = 222,027 × 222,027
4. Step 4: Simplify right side
   103,906.50x = 49,295,988,729
5. Step 5: Solve for x
   x = 49,295,988,729/103,906.50
6. Step 6: Final answer
   x = 474,426.42