Finding the Third Proportional to 49,197 and 105,561

Step by Step Solution

1. Step 1: Write the proportion equation
   49,197 : 105,561 = 105,561 : x
2. Step 2: Convert to fraction form
   49,197/105,561 = 105,561/x
3. Step 3: Cross multiply
   49,197x = 105,561 × 105,561
4. Step 4: Simplify right side
   49,197x = 11,143,124,721
5. Step 5: Solve for x
   x = 11,143,124,721/49,197
6. Step 6: Final answer
   x = 226,500.09