Finding the Third Proportional to 416,558 and 896,404

Step by Step Solution

1. Step 1: Write the proportion equation
   416,558 : 896,404 = 896,404 : x
2. Step 2: Convert to fraction form
   416,558/896,404 = 896,404/x
3. Step 3: Cross multiply
   416,558x = 896,404 × 896,404
4. Step 4: Simplify right side
   416,558x = 803,540,131,216
5. Step 5: Solve for x
   x = 803,540,131,216/416,558
6. Step 6: Final answer
   x = 1,928,999.40