Finding the Third Proportional to 49,447 and 109,571

Step by Step Solution

1. Step 1: Write the proportion equation
   49,447 : 109,571 = 109,571 : x
2. Step 2: Convert to fraction form
   49,447/109,571 = 109,571/x
3. Step 3: Cross multiply
   49,447x = 109,571 × 109,571
4. Step 4: Simplify right side
   49,447x = 12,005,804,041
5. Step 5: Solve for x
   x = 12,005,804,041/49,447
6. Step 6: Final answer
   x = 242,801.47