Finding the Third Proportional to 80,068 and 175,184

Step by Step Solution

1. Step 1: Write the proportion equation
   80,068 : 175,184 = 175,184 : x
2. Step 2: Convert to fraction form
   80,068/175,184 = 175,184/x
3. Step 3: Cross multiply
   80,068x = 175,184 × 175,184
4. Step 4: Simplify right side
   80,068x = 30,689,433,856
5. Step 5: Solve for x
   x = 30,689,433,856/80,068
6. Step 6: Final answer
   x = 383,292.12