Finding the Third Proportional to 80,065 and 174,223

Step by Step Solution

1. Step 1: Write the proportion equation
   80,065 : 174,223 = 174,223 : x
2. Step 2: Convert to fraction form
   80,065/174,223 = 174,223/x
3. Step 3: Cross multiply
   80,065x = 174,223 × 174,223
4. Step 4: Simplify right side
   80,065x = 30,353,653,729
5. Step 5: Solve for x
   x = 30,353,653,729/80,065
6. Step 6: Final answer
   x = 379,112.64