Finding the Third Proportional to 82,150 and 179,622

Step by Step Solution

1. Step 1: Write the proportion equation
   82,150 : 179,622 = 179,622 : x
2. Step 2: Convert to fraction form
   82,150/179,622 = 179,622/x
3. Step 3: Cross multiply
   82,150x = 179,622 × 179,622
4. Step 4: Simplify right side
   82,150x = 32,264,062,884
5. Step 5: Solve for x
   x = 32,264,062,884/82,150
6. Step 6: Final answer
   x = 392,745.74