Finding the Third Proportional to 80,039 and 174,172

Step by Step Solution

1. Step 1: Write the proportion equation
   80,039 : 174,172 = 174,172 : x
2. Step 2: Convert to fraction form
   80,039/174,172 = 174,172/x
3. Step 3: Cross multiply
   80,039x = 174,172 × 174,172
4. Step 4: Simplify right side
   80,039x = 30,335,885,584
5. Step 5: Solve for x
   x = 30,335,885,584/80,039
6. Step 6: Final answer
   x = 379,013.80