Finding the Third Proportional to 419,602 and 632,886

Step by Step Solution

1. Step 1: Write the proportion equation
   419,602 : 632,886 = 632,886 : x
2. Step 2: Convert to fraction form
   419,602/632,886 = 632,886/x
3. Step 3: Cross multiply
   419,602x = 632,886 × 632,886
4. Step 4: Simplify right side
   419,602x = 400,544,688,996
5. Step 5: Solve for x
   x = 400,544,688,996/419,602
6. Step 6: Final answer
   x = 954,582.41