Finding the Third Proportional to 123,837 and 204,885

Step by Step Solution

1. Step 1: Write the proportion equation
   123,837 : 204,885 = 204,885 : x
2. Step 2: Convert to fraction form
   123,837/204,885 = 204,885/x
3. Step 3: Cross multiply
   123,837x = 204,885 × 204,885
4. Step 4: Simplify right side
   123,837x = 41,977,863,225
5. Step 5: Solve for x
   x = 41,977,863,225/123,837
6. Step 6: Final answer
   x = 338,976.75