Finding the Third Proportional to 46,728 and 103,824

Step by Step Solution

1. Step 1: Write the proportion equation
   46,728 : 103,824 = 103,824 : x
2. Step 2: Convert to fraction form
   46,728/103,824 = 103,824/x
3. Step 3: Cross multiply
   46,728x = 103,824 × 103,824
4. Step 4: Simplify right side
   46,728x = 10,779,422,976
5. Step 5: Solve for x
   x = 10,779,422,976/46,728
6. Step 6: Final answer
   x = 230,684.45