Finding the Third Proportional to 80,006 and 175,084

Step by Step Solution

1. Step 1: Write the proportion equation
   80,006 : 175,084 = 175,084 : x
2. Step 2: Convert to fraction form
   80,006/175,084 = 175,084/x
3. Step 3: Cross multiply
   80,006x = 175,084 × 175,084
4. Step 4: Simplify right side
   80,006x = 30,654,407,056
5. Step 5: Solve for x
   x = 30,654,407,056/80,006
6. Step 6: Final answer
   x = 383,151.35