Finding the Third Proportional to 103,683 and 222,054

Step by Step Solution

1. Step 1: Write the proportion equation
   103,683 : 222,054 = 222,054 : x
2. Step 2: Convert to fraction form
   103,683/222,054 = 222,054/x
3. Step 3: Cross multiply
   103,683x = 222,054 × 222,054
4. Step 4: Simplify right side
   103,683x = 49,307,978,916
5. Step 5: Solve for x
   x = 49,307,978,916/103,683
6. Step 6: Final answer
   x = 475,564.74