Finding the Third Proportional to 80,396 and 175,078

Step by Step Solution

1. Step 1: Write the proportion equation
   80,396 : 175,078 = 175,078 : x
2. Step 2: Convert to fraction form
   80,396/175,078 = 175,078/x
3. Step 3: Cross multiply
   80,396x = 175,078 × 175,078
4. Step 4: Simplify right side
   80,396x = 30,652,306,084
5. Step 5: Solve for x
   x = 30,652,306,084/80,396
6. Step 6: Final answer
   x = 381,266.56