Finding the Third Proportional to 594,976 and 906,404

Step by Step Solution

1. Step 1: Write the proportion equation
   594,976 : 906,404 = 906,404 : x
2. Step 2: Convert to fraction form
   594,976/906,404 = 906,404/x
3. Step 3: Cross multiply
   594,976x = 906,404 × 906,404
4. Step 4: Simplify right side
   594,976x = 821,568,211,216
5. Step 5: Solve for x
   x = 821,568,211,216/594,976
6. Step 6: Final answer
   x = 1,380,842.61