Finding the Third Proportional to 49,792 and 104,204

Step by Step Solution

1. Step 1: Write the proportion equation
   49,792 : 104,204 = 104,204 : x
2. Step 2: Convert to fraction form
   49,792/104,204 = 104,204/x
3. Step 3: Cross multiply
   49,792x = 104,204 × 104,204
4. Step 4: Simplify right side
   49,792x = 10,858,473,616
5. Step 5: Solve for x
   x = 10,858,473,616/49,792
6. Step 6: Final answer
   x = 218,076.67