Finding the Third Proportional to 404,656 and 582,880

Step by Step Solution

1. Step 1: Write the proportion equation
   404,656 : 582,880 = 582,880 : x
2. Step 2: Convert to fraction form
   404,656/582,880 = 582,880/x
3. Step 3: Cross multiply
   404,656x = 582,880 × 582,880
4. Step 4: Simplify right side
   404,656x = 339,749,094,400
5. Step 5: Solve for x
   x = 339,749,094,400/404,656
6. Step 6: Final answer
   x = 839,599.79