Finding the Third Proportional to 82,794 and 179,994

Step by Step Solution

1. Step 1: Write the proportion equation
   82,794 : 179,994 = 179,994 : x
2. Step 2: Convert to fraction form
   82,794/179,994 = 179,994/x
3. Step 3: Cross multiply
   82,794x = 179,994 × 179,994
4. Step 4: Simplify right side
   82,794x = 32,397,840,036
5. Step 5: Solve for x
   x = 32,397,840,036/82,794
6. Step 6: Final answer
   x = 391,306.62