Finding the Third Proportional to 47,874 and 111,813

Step by Step Solution

1. Step 1: Write the proportion equation
   47,874 : 111,813 = 111,813 : x
2. Step 2: Convert to fraction form
   47,874/111,813 = 111,813/x
3. Step 3: Cross multiply
   47,874x = 111,813 × 111,813
4. Step 4: Simplify right side
   47,874x = 12,502,146,969
5. Step 5: Solve for x
   x = 12,502,146,969/47,874
6. Step 6: Final answer
   x = 261,146.91