Finding the Third Proportional to 46,944 and 104,384

Step by Step Solution

1. Step 1: Write the proportion equation
   46,944 : 104,384 = 104,384 : x
2. Step 2: Convert to fraction form
   46,944/104,384 = 104,384/x
3. Step 3: Cross multiply
   46,944x = 104,384 × 104,384
4. Step 4: Simplify right side
   46,944x = 10,896,019,456
5. Step 5: Solve for x
   x = 10,896,019,456/46,944
6. Step 6: Final answer
   x = 232,106.75