Finding the Third Proportional to 49,771 and 105,373

Step by Step Solution

1. Step 1: Write the proportion equation
   49,771 : 105,373 = 105,373 : x
2. Step 2: Convert to fraction form
   49,771/105,373 = 105,373/x
3. Step 3: Cross multiply
   49,771x = 105,373 × 105,373
4. Step 4: Simplify right side
   49,771x = 11,103,469,129
5. Step 5: Solve for x
   x = 11,103,469,129/49,771
6. Step 6: Final answer
   x = 223,091.14