Finding the Third Proportional to 82,638 and 180,846

Step by Step Solution

1. Step 1: Write the proportion equation
   82,638 : 180,846 = 180,846 : x
2. Step 2: Convert to fraction form
   82,638/180,846 = 180,846/x
3. Step 3: Cross multiply
   82,638x = 180,846 × 180,846
4. Step 4: Simplify right side
   82,638x = 32,705,275,716
5. Step 5: Solve for x
   x = 32,705,275,716/82,638
6. Step 6: Final answer
   x = 395,765.58