Finding the Third Proportional to 52,206 and 111,798

Step by Step Solution

1. Step 1: Write the proportion equation
   52,206 : 111,798 = 111,798 : x
2. Step 2: Convert to fraction form
   52,206/111,798 = 111,798/x
3. Step 3: Cross multiply
   52,206x = 111,798 × 111,798
4. Step 4: Simplify right side
   52,206x = 12,498,792,804
5. Step 5: Solve for x
   x = 12,498,792,804/52,206
6. Step 6: Final answer
   x = 239,412.96