Finding the Third Proportional to 80,370 and 175,026

Step by Step Solution

1. Step 1: Write the proportion equation
   80,370 : 175,026 = 175,026 : x
2. Step 2: Convert to fraction form
   80,370/175,026 = 175,026/x
3. Step 3: Cross multiply
   80,370x = 175,026 × 175,026
4. Step 4: Simplify right side
   80,370x = 30,634,100,676
5. Step 5: Solve for x
   x = 30,634,100,676/80,370
6. Step 6: Final answer
   x = 381,163.38