Finding the Third Proportional to 103,684 and 222,109

Step by Step Solution

1. Step 1: Write the proportion equation
   103,684 : 222,109 = 222,109 : x
2. Step 2: Convert to fraction form
   103,684/222,109 = 222,109/x
3. Step 3: Cross multiply
   103,684x = 222,109 × 222,109
4. Step 4: Simplify right side
   103,684x = 49,332,407,881
5. Step 5: Solve for x
   x = 49,332,407,881/103,684
6. Step 6: Final answer
   x = 475,795.76