Finding the Third Proportional to 222,784 and 486,216

Step by Step Solution

1. Step 1: Write the proportion equation
   222,784 : 486,216 = 486,216 : x
2. Step 2: Convert to fraction form
   222,784/486,216 = 486,216/x
3. Step 3: Cross multiply
   222,784x = 486,216 × 486,216
4. Step 4: Simplify right side
   222,784x = 236,405,998,656
5. Step 5: Solve for x
   x = 236,405,998,656/222,784
6. Step 6: Final answer
   x = 1,061,144.42