Finding the Third Proportional to 47,856 and 111,780

Step by Step Solution

1. Step 1: Write the proportion equation
   47,856 : 111,780 = 111,780 : x
2. Step 2: Convert to fraction form
   47,856/111,780 = 111,780/x
3. Step 3: Cross multiply
   47,856x = 111,780 × 111,780
4. Step 4: Simplify right side
   47,856x = 12,494,768,400
5. Step 5: Solve for x
   x = 12,494,768,400/47,856
6. Step 6: Final answer
   x = 261,090.95