Finding the Third Proportional to 375,797 and 582,002

Step by Step Solution

1. Step 1: Write the proportion equation
   375,797 : 582,002 = 582,002 : x
2. Step 2: Convert to fraction form
   375,797/582,002 = 582,002/x
3. Step 3: Cross multiply
   375,797x = 582,002 × 582,002
4. Step 4: Simplify right side
   375,797x = 338,726,328,004
5. Step 5: Solve for x
   x = 338,726,328,004/375,797
6. Step 6: Final answer
   x = 901,354.53