Finding the Third Proportional to 49,871 and 109,279

Step by Step Solution

1. Step 1: Write the proportion equation
   49,871 : 109,279 = 109,279 : x
2. Step 2: Convert to fraction form
   49,871/109,279 = 109,279/x
3. Step 3: Cross multiply
   49,871x = 109,279 × 109,279
4. Step 4: Simplify right side
   49,871x = 11,941,899,841
5. Step 5: Solve for x
   x = 11,941,899,841/49,871
6. Step 6: Final answer
   x = 239,455.79