Finding the Third Proportional to 100,426 and 222,884

Step by Step Solution

1. Step 1: Write the proportion equation
   100,426 : 222,884 = 222,884 : x
2. Step 2: Convert to fraction form
   100,426/222,884 = 222,884/x
3. Step 3: Cross multiply
   100,426x = 222,884 × 222,884
4. Step 4: Simplify right side
   100,426x = 49,677,277,456
5. Step 5: Solve for x
   x = 49,677,277,456/100,426
6. Step 6: Final answer
   x = 494,665.50