Finding the Third Proportional to 259,866 and 567,684

Step by Step Solution

1. Step 1: Write the proportion equation
   259,866 : 567,684 = 567,684 : x
2. Step 2: Convert to fraction form
   259,866/567,684 = 567,684/x
3. Step 3: Cross multiply
   259,866x = 567,684 × 567,684
4. Step 4: Simplify right side
   259,866x = 322,265,123,856
5. Step 5: Solve for x
   x = 322,265,123,856/259,866
6. Step 6: Final answer
   x = 1,240,120.38