Finding the Third Proportional to 80,540 and 189,512

Step by Step Solution

1. Step 1: Write the proportion equation
   80,540 : 189,512 = 189,512 : x
2. Step 2: Convert to fraction form
   80,540/189,512 = 189,512/x
3. Step 3: Cross multiply
   80,540x = 189,512 × 189,512
4. Step 4: Simplify right side
   80,540x = 35,914,798,144
5. Step 5: Solve for x
   x = 35,914,798,144/80,540
6. Step 6: Final answer
   x = 445,924.98