Finding the Third Proportional to 82,372 and 180,782

Step by Step Solution

1. Step 1: Write the proportion equation
   82,372 : 180,782 = 180,782 : x
2. Step 2: Convert to fraction form
   82,372/180,782 = 180,782/x
3. Step 3: Cross multiply
   82,372x = 180,782 × 180,782
4. Step 4: Simplify right side
   82,372x = 32,682,131,524
5. Step 5: Solve for x
   x = 32,682,131,524/82,372
6. Step 6: Final answer
   x = 396,762.63