Finding the Third Proportional to 123,204 and 263,904

Step by Step Solution

1. Step 1: Write the proportion equation
   123,204 : 263,904 = 263,904 : x
2. Step 2: Convert to fraction form
   123,204/263,904 = 263,904/x
3. Step 3: Cross multiply
   123,204x = 263,904 × 263,904
4. Step 4: Simplify right side
   123,204x = 69,645,321,216
5. Step 5: Solve for x
   x = 69,645,321,216/123,204
6. Step 6: Final answer
   x = 565,284.58