Finding the Third Proportional to 55,980 and 123,012

Step by Step Solution

1. Step 1: Write the proportion equation
   55,980 : 123,012 = 123,012 : x
2. Step 2: Convert to fraction form
   55,980/123,012 = 123,012/x
3. Step 3: Cross multiply
   55,980x = 123,012 × 123,012
4. Step 4: Simplify right side
   55,980x = 15,131,952,144
5. Step 5: Solve for x
   x = 15,131,952,144/55,980
6. Step 6: Final answer
   x = 270,309.97