Finding the Third Proportional to 82,719 and 179,436

Step by Step Solution

1. Step 1: Write the proportion equation
   82,719 : 179,436 = 179,436 : x
2. Step 2: Convert to fraction form
   82,719/179,436 = 179,436/x
3. Step 3: Cross multiply
   82,719x = 179,436 × 179,436
4. Step 4: Simplify right side
   82,719x = 32,197,278,096
5. Step 5: Solve for x
   x = 32,197,278,096/82,719
6. Step 6: Final answer
   x = 389,236.79