Finding the Third Proportional to 49,849 and 109,058

Step by Step Solution

1. Step 1: Write the proportion equation
   49,849 : 109,058 = 109,058 : x
2. Step 2: Convert to fraction form
   49,849/109,058 = 109,058/x
3. Step 3: Cross multiply
   49,849x = 109,058 × 109,058
4. Step 4: Simplify right side
   49,849x = 11,893,647,364
5. Step 5: Solve for x
   x = 11,893,647,364/49,849
6. Step 6: Final answer
   x = 238,593.50