Finding the Third Proportional to 103,678 and 222,460

Step by Step Solution

1. Step 1: Write the proportion equation
   103,678 : 222,460 = 222,460 : x
2. Step 2: Convert to fraction form
   103,678/222,460 = 222,460/x
3. Step 3: Cross multiply
   103,678x = 222,460 × 222,460
4. Step 4: Simplify right side
   103,678x = 49,488,451,600
5. Step 5: Solve for x
   x = 49,488,451,600/103,678
6. Step 6: Final answer
   x = 477,328.38