Finding the Third Proportional to 159,904 and 352,004

Step by Step Solution

1. Step 1: Write the proportion equation
   159,904 : 352,004 = 352,004 : x
2. Step 2: Convert to fraction form
   159,904/352,004 = 352,004/x
3. Step 3: Cross multiply
   159,904x = 352,004 × 352,004
4. Step 4: Simplify right side
   159,904x = 123,906,816,016
5. Step 5: Solve for x
   x = 123,906,816,016/159,904
6. Step 6: Final answer
   x = 774,882.53