Finding the Third Proportional to 80,359 and 175,005

Step by Step Solution

1. Step 1: Write the proportion equation
   80,359 : 175,005 = 175,005 : x
2. Step 2: Convert to fraction form
   80,359/175,005 = 175,005/x
3. Step 3: Cross multiply
   80,359x = 175,005 × 175,005
4. Step 4: Simplify right side
   80,359x = 30,626,750,025
5. Step 5: Solve for x
   x = 30,626,750,025/80,359
6. Step 6: Final answer
   x = 381,124.08