Finding the Third Proportional to 82,298 and 179,676

Step by Step Solution

1. Step 1: Write the proportion equation
   82,298 : 179,676 = 179,676 : x
2. Step 2: Convert to fraction form
   82,298/179,676 = 179,676/x
3. Step 3: Cross multiply
   82,298x = 179,676 × 179,676
4. Step 4: Simplify right side
   82,298x = 32,283,464,976
5. Step 5: Solve for x
   x = 32,283,464,976/82,298
6. Step 6: Final answer
   x = 392,275.21