Finding the Third Proportional to 163,904 and 333,824

Step by Step Solution

1. Step 1: Write the proportion equation
   163,904 : 333,824 = 333,824 : x
2. Step 2: Convert to fraction form
   163,904/333,824 = 333,824/x
3. Step 3: Cross multiply
   163,904x = 333,824 × 333,824
4. Step 4: Simplify right side
   163,904x = 111,438,462,976
5. Step 5: Solve for x
   x = 111,438,462,976/163,904
6. Step 6: Final answer
   x = 679,900.81