Finding the Third Proportional to 57,119.50 and 123,771.50

Step by Step Solution

1. Step 1: Write the proportion equation
   57,119.50 : 123,771.50 = 123,771.50 : x
2. Step 2: Convert to fraction form
   57,119.50/123,771.50 = 123,771.50/x
3. Step 3: Cross multiply
   57,119.50x = 123,771.50 × 123,771.50
4. Step 4: Simplify right side
   57,119.50x = 15,319,384,212.25
5. Step 5: Solve for x
   x = 15,319,384,212.25/57,119.50
6. Step 6: Final answer
   x = 268,198.85