Finding the Third Proportional to 416,196 and 913,404

Step by Step Solution

1. Step 1: Write the proportion equation
   416,196 : 913,404 = 913,404 : x
2. Step 2: Convert to fraction form
   416,196/913,404 = 913,404/x
3. Step 3: Cross multiply
   416,196x = 913,404 × 913,404
4. Step 4: Simplify right side
   416,196x = 834,306,867,216
5. Step 5: Solve for x
   x = 834,306,867,216/416,196
6. Step 6: Final answer
   x = 2,004,600.88