Finding the Third Proportional to 419,613 and 632,922

Step by Step Solution

1. Step 1: Write the proportion equation
   419,613 : 632,922 = 632,922 : x
2. Step 2: Convert to fraction form
   419,613/632,922 = 632,922/x
3. Step 3: Cross multiply
   419,613x = 632,922 × 632,922
4. Step 4: Simplify right side
   419,613x = 400,590,258,084
5. Step 5: Solve for x
   x = 400,590,258,084/419,613
6. Step 6: Final answer
   x = 954,665.99