Finding the Third Proportional to 222,592 and 333,824

Step by Step Solution

1. Step 1: Write the proportion equation
   222,592 : 333,824 = 333,824 : x
2. Step 2: Convert to fraction form
   222,592/333,824 = 333,824/x
3. Step 3: Cross multiply
   222,592x = 333,824 × 333,824
4. Step 4: Simplify right side
   222,592x = 111,438,462,976
5. Step 5: Solve for x
   x = 111,438,462,976/222,592
6. Step 6: Final answer
   x = 500,640.02