Finding the Third Proportional to 80,841 and 174,588

Step by Step Solution

1. Step 1: Write the proportion equation
   80,841 : 174,588 = 174,588 : x
2. Step 2: Convert to fraction form
   80,841/174,588 = 174,588/x
3. Step 3: Cross multiply
   80,841x = 174,588 × 174,588
4. Step 4: Simplify right side
   80,841x = 30,480,969,744
5. Step 5: Solve for x
   x = 30,480,969,744/80,841
6. Step 6: Final answer
   x = 377,048.40