Finding the Third Proportional to 419,664 and 633,003

Step by Step Solution

1. Step 1: Write the proportion equation
   419,664 : 633,003 = 633,003 : x
2. Step 2: Convert to fraction form
   419,664/633,003 = 633,003/x
3. Step 3: Cross multiply
   419,664x = 633,003 × 633,003
4. Step 4: Simplify right side
   419,664x = 400,692,798,009
5. Step 5: Solve for x
   x = 400,692,798,009/419,664
6. Step 6: Final answer
   x = 954,794.31