Finding the Third Proportional to 51,780 and 111,112

Step by Step Solution

1. Step 1: Write the proportion equation
   51,780 : 111,112 = 111,112 : x
2. Step 2: Convert to fraction form
   51,780/111,112 = 111,112/x
3. Step 3: Cross multiply
   51,780x = 111,112 × 111,112
4. Step 4: Simplify right side
   51,780x = 12,345,876,544
5. Step 5: Solve for x
   x = 12,345,876,544/51,780
6. Step 6: Final answer
   x = 238,429.44