Finding the Third Proportional to 524,774 and 825,002

Step by Step Solution

1. Step 1: Write the proportion equation
   524,774 : 825,002 = 825,002 : x
2. Step 2: Convert to fraction form
   524,774/825,002 = 825,002/x
3. Step 3: Cross multiply
   524,774x = 825,002 × 825,002
4. Step 4: Simplify right side
   524,774x = 680,628,300,004
5. Step 5: Solve for x
   x = 680,628,300,004/524,774
6. Step 6: Final answer
   x = 1,296,993.18