Finding the Third Proportional to 425,772 and 592,002

Step by Step Solution

1. Step 1: Write the proportion equation
   425,772 : 592,002 = 592,002 : x
2. Step 2: Convert to fraction form
   425,772/592,002 = 592,002/x
3. Step 3: Cross multiply
   425,772x = 592,002 × 592,002
4. Step 4: Simplify right side
   425,772x = 350,466,368,004
5. Step 5: Solve for x
   x = 350,466,368,004/425,772
6. Step 6: Final answer
   x = 823,131.55