Finding the Third Proportional to 80,066 and 175,180

Step by Step Solution

1. Step 1: Write the proportion equation
   80,066 : 175,180 = 175,180 : x
2. Step 2: Convert to fraction form
   80,066/175,180 = 175,180/x
3. Step 3: Cross multiply
   80,066x = 175,180 × 175,180
4. Step 4: Simplify right side
   80,066x = 30,688,032,400
5. Step 5: Solve for x
   x = 30,688,032,400/80,066
6. Step 6: Final answer
   x = 383,284.20