Finding the Third Proportional to 173,884 and 419,762

Step by Step Solution

1. Step 1: Write the proportion equation
   173,884 : 419,762 = 419,762 : x
2. Step 2: Convert to fraction form
   173,884/419,762 = 419,762/x
3. Step 3: Cross multiply
   173,884x = 419,762 × 419,762
4. Step 4: Simplify right side
   173,884x = 176,200,136,644
5. Step 5: Solve for x
   x = 176,200,136,644/173,884
6. Step 6: Final answer
   x = 1,013,320.01