Finding the Third Proportional to 80,741 and 173,821

Step by Step Solution

1. Step 1: Write the proportion equation
   80,741 : 173,821 = 173,821 : x
2. Step 2: Convert to fraction form
   80,741/173,821 = 173,821/x
3. Step 3: Cross multiply
   80,741x = 173,821 × 173,821
4. Step 4: Simplify right side
   80,741x = 30,213,740,041
5. Step 5: Solve for x
   x = 30,213,740,041/80,741
6. Step 6: Final answer
   x = 374,205.67