Finding the Third Proportional to 49,783 and 104,176

Step by Step Solution

1. Step 1: Write the proportion equation
   49,783 : 104,176 = 104,176 : x
2. Step 2: Convert to fraction form
   49,783/104,176 = 104,176/x
3. Step 3: Cross multiply
   49,783x = 104,176 × 104,176
4. Step 4: Simplify right side
   49,783x = 10,852,638,976
5. Step 5: Solve for x
   x = 10,852,638,976/49,783
6. Step 6: Final answer
   x = 217,998.89