Finding the Third Proportional to 47,884 and 111,838

Step by Step Solution

1. Step 1: Write the proportion equation
   47,884 : 111,838 = 111,838 : x
2. Step 2: Convert to fraction form
   47,884/111,838 = 111,838/x
3. Step 3: Cross multiply
   47,884x = 111,838 × 111,838
4. Step 4: Simplify right side
   47,884x = 12,507,738,244
5. Step 5: Solve for x
   x = 12,507,738,244/47,884
6. Step 6: Final answer
   x = 261,209.14