Finding the Third Proportional to 51,816 and 111,180

Step by Step Solution

1. Step 1: Write the proportion equation
   51,816 : 111,180 = 111,180 : x
2. Step 2: Convert to fraction form
   51,816/111,180 = 111,180/x
3. Step 3: Cross multiply
   51,816x = 111,180 × 111,180
4. Step 4: Simplify right side
   51,816x = 12,360,992,400
5. Step 5: Solve for x
   x = 12,360,992,400/51,816
6. Step 6: Final answer
   x = 238,555.51