Finding the Third Proportional to 52,181 and 111,741

Step by Step Solution

1. Step 1: Write the proportion equation
   52,181 : 111,741 = 111,741 : x
2. Step 2: Convert to fraction form
   52,181/111,741 = 111,741/x
3. Step 3: Cross multiply
   52,181x = 111,741 × 111,741
4. Step 4: Simplify right side
   52,181x = 12,486,051,081
5. Step 5: Solve for x
   x = 12,486,051,081/52,181
6. Step 6: Final answer
   x = 239,283.48