Finding the Third Proportional to 259,716 and 567,096

Step by Step Solution

1. Step 1: Write the proportion equation
   259,716 : 567,096 = 567,096 : x
2. Step 2: Convert to fraction form
   259,716/567,096 = 567,096/x
3. Step 3: Cross multiply
   259,716x = 567,096 × 567,096
4. Step 4: Simplify right side
   259,716x = 321,597,873,216
5. Step 5: Solve for x
   x = 321,597,873,216/259,716
6. Step 6: Final answer
   x = 1,238,267.47