Finding the Third Proportional to 389,662 and 582,928

Step by Step Solution

1. Step 1: Write the proportion equation
   389,662 : 582,928 = 582,928 : x
2. Step 2: Convert to fraction form
   389,662/582,928 = 582,928/x
3. Step 3: Cross multiply
   389,662x = 582,928 × 582,928
4. Step 4: Simplify right side
   389,662x = 339,805,053,184
5. Step 5: Solve for x
   x = 339,805,053,184/389,662
6. Step 6: Final answer
   x = 872,050.79