Finding the Third Proportional to 51,821 and 111,570

Step by Step Solution

1. Step 1: Write the proportion equation
   51,821 : 111,570 = 111,570 : x
2. Step 2: Convert to fraction form
   51,821/111,570 = 111,570/x
3. Step 3: Cross multiply
   51,821x = 111,570 × 111,570
4. Step 4: Simplify right side
   51,821x = 12,447,864,900
5. Step 5: Solve for x
   x = 12,447,864,900/51,821
6. Step 6: Final answer
   x = 240,208.89