Finding the Third Proportional to 49,744 and 103,682

Step by Step Solution

1. Step 1: Write the proportion equation
   49,744 : 103,682 = 103,682 : x
2. Step 2: Convert to fraction form
   49,744/103,682 = 103,682/x
3. Step 3: Cross multiply
   49,744x = 103,682 × 103,682
4. Step 4: Simplify right side
   49,744x = 10,749,957,124
5. Step 5: Solve for x
   x = 10,749,957,124/49,744
6. Step 6: Final answer
   x = 216,105.60