Finding the Third Proportional to 51,137 and 111,571

Step by Step Solution

1. Step 1: Write the proportion equation
   51,137 : 111,571 = 111,571 : x
2. Step 2: Convert to fraction form
   51,137/111,571 = 111,571/x
3. Step 3: Cross multiply
   51,137x = 111,571 × 111,571
4. Step 4: Simplify right side
   51,137x = 12,448,088,041
5. Step 5: Solve for x
   x = 12,448,088,041/51,137
6. Step 6: Final answer
   x = 243,426.25