Finding the Third Proportional to 80,182 and 174,026

Step by Step Solution

1. Step 1: Write the proportion equation
   80,182 : 174,026 = 174,026 : x
2. Step 2: Convert to fraction form
   80,182/174,026 = 174,026/x
3. Step 3: Cross multiply
   80,182x = 174,026 × 174,026
4. Step 4: Simplify right side
   80,182x = 30,285,048,676
5. Step 5: Solve for x
   x = 30,285,048,676/80,182
6. Step 6: Final answer
   x = 377,703.83