Finding the Third Proportional to 222,744 and 321,828

Step by Step Solution

1. Step 1: Write the proportion equation
   222,744 : 321,828 = 321,828 : x
2. Step 2: Convert to fraction form
   222,744/321,828 = 321,828/x
3. Step 3: Cross multiply
   222,744x = 321,828 × 321,828
4. Step 4: Simplify right side
   222,744x = 103,573,261,584
5. Step 5: Solve for x
   x = 103,573,261,584/222,744
6. Step 6: Final answer
   x = 464,987.89