Finding the Third Proportional to 49,786.50 and 109,419

Step by Step Solution

1. Step 1: Write the proportion equation
   49,786.50 : 109,419 = 109,419 : x
2. Step 2: Convert to fraction form
   49,786.50/109,419 = 109,419/x
3. Step 3: Cross multiply
   49,786.50x = 109,419 × 109,419
4. Step 4: Simplify right side
   49,786.50x = 11,972,517,561
5. Step 5: Solve for x
   x = 11,972,517,561/49,786.50
6. Step 6: Final answer
   x = 240,477.19