Finding the Third Proportional to 424,002 and 573,795

Step by Step Solution

1. Step 1: Write the proportion equation
   424,002 : 573,795 = 573,795 : x
2. Step 2: Convert to fraction form
   424,002/573,795 = 573,795/x
3. Step 3: Cross multiply
   424,002x = 573,795 × 573,795
4. Step 4: Simplify right side
   424,002x = 329,240,702,025
5. Step 5: Solve for x
   x = 329,240,702,025/424,002
6. Step 6: Final answer
   x = 776,507.43