Finding the Third Proportional to 47,862 and 111,798

Step by Step Solution

1. Step 1: Write the proportion equation
   47,862 : 111,798 = 111,798 : x
2. Step 2: Convert to fraction form
   47,862/111,798 = 111,798/x
3. Step 3: Cross multiply
   47,862x = 111,798 × 111,798
4. Step 4: Simplify right side
   47,862x = 12,498,792,804
5. Step 5: Solve for x
   x = 12,498,792,804/47,862
6. Step 6: Final answer
   x = 261,142.30