Finding the Third Proportional to 82,519 and 180,494

Step by Step Solution

1. Step 1: Write the proportion equation
   82,519 : 180,494 = 180,494 : x
2. Step 2: Convert to fraction form
   82,519/180,494 = 180,494/x
3. Step 3: Cross multiply
   82,519x = 180,494 × 180,494
4. Step 4: Simplify right side
   82,519x = 32,578,084,036
5. Step 5: Solve for x
   x = 32,578,084,036/82,519
6. Step 6: Final answer
   x = 394,794.94