Finding the Third Proportional to 80,576 and 174,544

Step by Step Solution

1. Step 1: Write the proportion equation
   80,576 : 174,544 = 174,544 : x
2. Step 2: Convert to fraction form
   80,576/174,544 = 174,544/x
3. Step 3: Cross multiply
   80,576x = 174,544 × 174,544
4. Step 4: Simplify right side
   80,576x = 30,465,607,936
5. Step 5: Solve for x
   x = 30,465,607,936/80,576
6. Step 6: Final answer
   x = 378,097.80