Finding the Third Proportional to 259,538 and 557,870

Step by Step Solution

1. Step 1: Write the proportion equation
   259,538 : 557,870 = 557,870 : x
2. Step 2: Convert to fraction form
   259,538/557,870 = 557,870/x
3. Step 3: Cross multiply
   259,538x = 557,870 × 557,870
4. Step 4: Simplify right side
   259,538x = 311,218,936,900
5. Step 5: Solve for x
   x = 311,218,936,900/259,538
6. Step 6: Final answer
   x = 1,199,126.67