Finding the Third Proportional to 185,504 and 407,872

Step by Step Solution

1. Step 1: Write the proportion equation
   185,504 : 407,872 = 407,872 : x
2. Step 2: Convert to fraction form
   185,504/407,872 = 407,872/x
3. Step 3: Cross multiply
   185,504x = 407,872 × 407,872
4. Step 4: Simplify right side
   185,504x = 166,359,568,384
5. Step 5: Solve for x
   x = 166,359,568,384/185,504
6. Step 6: Final answer
   x = 896,797.74