Finding the Third Proportional to 120,874 and 259,242

Step by Step Solution

1. Step 1: Write the proportion equation
   120,874 : 259,242 = 259,242 : x
2. Step 2: Convert to fraction form
   120,874/259,242 = 259,242/x
3. Step 3: Cross multiply
   120,874x = 259,242 × 259,242
4. Step 4: Simplify right side
   120,874x = 67,206,414,564
5. Step 5: Solve for x
   x = 67,206,414,564/120,874
6. Step 6: Final answer
   x = 556,003.89