Finding the Third Proportional to 80,055 and 174,204

Step by Step Solution

1. Step 1: Write the proportion equation
   80,055 : 174,204 = 174,204 : x
2. Step 2: Convert to fraction form
   80,055/174,204 = 174,204/x
3. Step 3: Cross multiply
   80,055x = 174,204 × 174,204
4. Step 4: Simplify right side
   80,055x = 30,347,033,616
5. Step 5: Solve for x
   x = 30,347,033,616/80,055
6. Step 6: Final answer
   x = 379,077.30