Finding the Third Proportional to 80,238 and 174,084

Step by Step Solution

1. Step 1: Write the proportion equation
   80,238 : 174,084 = 174,084 : x
2. Step 2: Convert to fraction form
   80,238/174,084 = 174,084/x
3. Step 3: Cross multiply
   80,238x = 174,084 × 174,084
4. Step 4: Simplify right side
   80,238x = 30,305,239,056
5. Step 5: Solve for x
   x = 30,305,239,056/80,238
6. Step 6: Final answer
   x = 377,691.85