Finding the Third Proportional to 268,538 and 585,002

Step by Step Solution

1. Step 1: Write the proportion equation
   268,538 : 585,002 = 585,002 : x
2. Step 2: Convert to fraction form
   268,538/585,002 = 585,002/x
3. Step 3: Cross multiply
   268,538x = 585,002 × 585,002
4. Step 4: Simplify right side
   268,538x = 342,227,340,004
5. Step 5: Solve for x
   x = 342,227,340,004/268,538
6. Step 6: Final answer
   x = 1,274,409.36