Finding the Third Proportional to 80,002 and 175,068

Step by Step Solution

1. Step 1: Write the proportion equation
   80,002 : 175,068 = 175,068 : x
2. Step 2: Convert to fraction form
   80,002/175,068 = 175,068/x
3. Step 3: Cross multiply
   80,002x = 175,068 × 175,068
4. Step 4: Simplify right side
   80,002x = 30,648,804,624
5. Step 5: Solve for x
   x = 30,648,804,624/80,002
6. Step 6: Final answer
   x = 383,100.48