Finding the Third Proportional to 103,684 and 222,848

Step by Step Solution

1. Step 1: Write the proportion equation
   103,684 : 222,848 = 222,848 : x
2. Step 2: Convert to fraction form
   103,684/222,848 = 222,848/x
3. Step 3: Cross multiply
   103,684x = 222,848 × 222,848
4. Step 4: Simplify right side
   103,684x = 49,661,231,104
5. Step 5: Solve for x
   x = 49,661,231,104/103,684
6. Step 6: Final answer
   x = 478,967.16