Finding the Third Proportional to 46,728 and 101,904

Step by Step Solution

1. Step 1: Write the proportion equation
   46,728 : 101,904 = 101,904 : x
2. Step 2: Convert to fraction form
   46,728/101,904 = 101,904/x
3. Step 3: Cross multiply
   46,728x = 101,904 × 101,904
4. Step 4: Simplify right side
   46,728x = 10,384,425,216
5. Step 5: Solve for x
   x = 10,384,425,216/46,728
6. Step 6: Final answer
   x = 222,231.32