Finding the Third Proportional to 55,089 and 123,660

Step by Step Solution

1. Step 1: Write the proportion equation
   55,089 : 123,660 = 123,660 : x
2. Step 2: Convert to fraction form
   55,089/123,660 = 123,660/x
3. Step 3: Cross multiply
   55,089x = 123,660 × 123,660
4. Step 4: Simplify right side
   55,089x = 15,291,795,600
5. Step 5: Solve for x
   x = 15,291,795,600/55,089
6. Step 6: Final answer
   x = 277,583.47