Finding the Third Proportional to 80,186 and 174,040

Step by Step Solution

1. Step 1: Write the proportion equation
   80,186 : 174,040 = 174,040 : x
2. Step 2: Convert to fraction form
   80,186/174,040 = 174,040/x
3. Step 3: Cross multiply
   80,186x = 174,040 × 174,040
4. Step 4: Simplify right side
   80,186x = 30,289,921,600
5. Step 5: Solve for x
   x = 30,289,921,600/80,186
6. Step 6: Final answer
   x = 377,745.76