Finding the Third Proportional to 123,993 and 185,509

Step by Step Solution

1. Step 1: Write the proportion equation
   123,993 : 185,509 = 185,509 : x
2. Step 2: Convert to fraction form
   123,993/185,509 = 185,509/x
3. Step 3: Cross multiply
   123,993x = 185,509 × 185,509
4. Step 4: Simplify right side
   123,993x = 34,413,589,081
5. Step 5: Solve for x
   x = 34,413,589,081/123,993
6. Step 6: Final answer
   x = 277,544.61