Finding the Third Proportional to 80,544 and 174,930

Step by Step Solution

1. Step 1: Write the proportion equation
   80,544 : 174,930 = 174,930 : x
2. Step 2: Convert to fraction form
   80,544/174,930 = 174,930/x
3. Step 3: Cross multiply
   80,544x = 174,930 × 174,930
4. Step 4: Simplify right side
   80,544x = 30,600,504,900
5. Step 5: Solve for x
   x = 30,600,504,900/80,544
6. Step 6: Final answer
   x = 379,922.84