Finding the Third Proportional to 268,418 and 584,786

Step by Step Solution

1. Step 1: Write the proportion equation
   268,418 : 584,786 = 584,786 : x
2. Step 2: Convert to fraction form
   268,418/584,786 = 584,786/x
3. Step 3: Cross multiply
   268,418x = 584,786 × 584,786
4. Step 4: Simplify right side
   268,418x = 341,974,665,796
5. Step 5: Solve for x
   x = 341,974,665,796/268,418
6. Step 6: Final answer
   x = 1,274,037.75