Finding the Third Proportional to 103,998 and 222,780

Step by Step Solution

1. Step 1: Write the proportion equation
   103,998 : 222,780 = 222,780 : x
2. Step 2: Convert to fraction form
   103,998/222,780 = 222,780/x
3. Step 3: Cross multiply
   103,998x = 222,780 × 222,780
4. Step 4: Simplify right side
   103,998x = 49,630,928,400
5. Step 5: Solve for x
   x = 49,630,928,400/103,998
6. Step 6: Final answer
   x = 477,229.64