Finding the Third Proportional to 55,986 and 123,144

Step by Step Solution

1. Step 1: Write the proportion equation
   55,986 : 123,144 = 123,144 : x
2. Step 2: Convert to fraction form
   55,986/123,144 = 123,144/x
3. Step 3: Cross multiply
   55,986x = 123,144 × 123,144
4. Step 4: Simplify right side
   55,986x = 15,164,444,736
5. Step 5: Solve for x
   x = 15,164,444,736/55,986
6. Step 6: Final answer
   x = 270,861.37