Finding the Third Proportional to 80,544 and 189,504

Step by Step Solution

1. Step 1: Write the proportion equation
   80,544 : 189,504 = 189,504 : x
2. Step 2: Convert to fraction form
   80,544/189,504 = 189,504/x
3. Step 3: Cross multiply
   80,544x = 189,504 × 189,504
4. Step 4: Simplify right side
   80,544x = 35,911,766,016
5. Step 5: Solve for x
   x = 35,911,766,016/80,544
6. Step 6: Final answer
   x = 445,865.19