Finding the Third Proportional to 103,678 and 222,098

Step by Step Solution

1. Step 1: Write the proportion equation
   103,678 : 222,098 = 222,098 : x
2. Step 2: Convert to fraction form
   103,678/222,098 = 222,098/x
3. Step 3: Cross multiply
   103,678x = 222,098 × 222,098
4. Step 4: Simplify right side
   103,678x = 49,327,521,604
5. Step 5: Solve for x
   x = 49,327,521,604/103,678
6. Step 6: Final answer
   x = 475,776.17