Finding the Third Proportional to 80,836 and 175,662

Step by Step Solution

1. Step 1: Write the proportion equation
   80,836 : 175,662 = 175,662 : x
2. Step 2: Convert to fraction form
   80,836/175,662 = 175,662/x
3. Step 3: Cross multiply
   80,836x = 175,662 × 175,662
4. Step 4: Simplify right side
   80,836x = 30,857,138,244
5. Step 5: Solve for x
   x = 30,857,138,244/80,836
6. Step 6: Final answer
   x = 381,725.20