Finding the Third Proportional to 262,757 and 578,002

Step by Step Solution

1. Step 1: Write the proportion equation
   262,757 : 578,002 = 578,002 : x
2. Step 2: Convert to fraction form
   262,757/578,002 = 578,002/x
3. Step 3: Cross multiply
   262,757x = 578,002 × 578,002
4. Step 4: Simplify right side
   262,757x = 334,086,312,004
5. Step 5: Solve for x
   x = 334,086,312,004/262,757
6. Step 6: Final answer
   x = 1,271,464.94