Finding the Third Proportional to 101,589 and 222,864

Step by Step Solution

1. Step 1: Write the proportion equation
   101,589 : 222,864 = 222,864 : x
2. Step 2: Convert to fraction form
   101,589/222,864 = 222,864/x
3. Step 3: Cross multiply
   101,589x = 222,864 × 222,864
4. Step 4: Simplify right side
   101,589x = 49,668,362,496
5. Step 5: Solve for x
   x = 49,668,362,496/101,589
6. Step 6: Final answer
   x = 488,914.77