Finding the Third Proportional to 80,268 and 175,761

Step by Step Solution

1. Step 1: Write the proportion equation
   80,268 : 175,761 = 175,761 : x
2. Step 2: Convert to fraction form
   80,268/175,761 = 175,761/x
3. Step 3: Cross multiply
   80,268x = 175,761 × 175,761
4. Step 4: Simplify right side
   80,268x = 30,891,929,121
5. Step 5: Solve for x
   x = 30,891,929,121/80,268
6. Step 6: Final answer
   x = 384,859.83