Finding the Third Proportional to 123,340 and 259,568

Step by Step Solution

1. Step 1: Write the proportion equation
   123,340 : 259,568 = 259,568 : x
2. Step 2: Convert to fraction form
   123,340/259,568 = 259,568/x
3. Step 3: Cross multiply
   123,340x = 259,568 × 259,568
4. Step 4: Simplify right side
   123,340x = 67,375,546,624
5. Step 5: Solve for x
   x = 67,375,546,624/123,340
6. Step 6: Final answer
   x = 546,258.69