Finding the Third Proportional to 222,606 and 333,828

Step by Step Solution

1. Step 1: Write the proportion equation
   222,606 : 333,828 = 333,828 : x
2. Step 2: Convert to fraction form
   222,606/333,828 = 333,828/x
3. Step 3: Cross multiply
   222,606x = 333,828 × 333,828
4. Step 4: Simplify right side
   222,606x = 111,441,133,584
5. Step 5: Solve for x
   x = 111,441,133,584/222,606
6. Step 6: Final answer
   x = 500,620.53