Finding the Third Proportional to 49,441 and 109,561

Step by Step Solution

1. Step 1: Write the proportion equation
   49,441 : 109,561 = 109,561 : x
2. Step 2: Convert to fraction form
   49,441/109,561 = 109,561/x
3. Step 3: Cross multiply
   49,441x = 109,561 × 109,561
4. Step 4: Simplify right side
   49,441x = 12,003,612,721
5. Step 5: Solve for x
   x = 12,003,612,721/49,441
6. Step 6: Final answer
   x = 242,786.61