Finding the Third Proportional to 52,181 and 111,740.75

Step by Step Solution

1. Step 1: Write the proportion equation
   52,181 : 111,740.75 = 111,740.75 : x
2. Step 2: Convert to fraction form
   52,181/111,740.75 = 111,740.75/x
3. Step 3: Cross multiply
   52,181x = 111,740.75 × 111,740.75
4. Step 4: Simplify right side
   52,181x = 12,485,995,210.56
5. Step 5: Solve for x
   x = 12,485,995,210.56/52,181
6. Step 6: Final answer
   x = 239,282.41