Finding the Third Proportional to 419,026 and 648,696

Step by Step Solution

1. Step 1: Write the proportion equation
   419,026 : 648,696 = 648,696 : x
2. Step 2: Convert to fraction form
   419,026/648,696 = 648,696/x
3. Step 3: Cross multiply
   419,026x = 648,696 × 648,696
4. Step 4: Simplify right side
   419,026x = 420,806,500,416
5. Step 5: Solve for x
   x = 420,806,500,416/419,026
6. Step 6: Final answer
   x = 1,004,249.14