Finding the Third Proportional to 419,050 and 648,731

Step by Step Solution

1. Step 1: Write the proportion equation
   419,050 : 648,731 = 648,731 : x
2. Step 2: Convert to fraction form
   419,050/648,731 = 648,731/x
3. Step 3: Cross multiply
   419,050x = 648,731 × 648,731
4. Step 4: Simplify right side
   419,050x = 420,851,910,361
5. Step 5: Solve for x
   x = 420,851,910,361/419,050
6. Step 6: Final answer
   x = 1,004,299.99