Finding the Third Proportional to 222,864 and 486,384

Step by Step Solution

1. Step 1: Write the proportion equation
   222,864 : 486,384 = 486,384 : x
2. Step 2: Convert to fraction form
   222,864/486,384 = 486,384/x
3. Step 3: Cross multiply
   222,864x = 486,384 × 486,384
4. Step 4: Simplify right side
   222,864x = 236,569,395,456
5. Step 5: Solve for x
   x = 236,569,395,456/222,864
6. Step 6: Final answer
   x = 1,061,496.68