Finding the Third Proportional to 82,155 and 179,631

Step by Step Solution

1. Step 1: Write the proportion equation
   82,155 : 179,631 = 179,631 : x
2. Step 2: Convert to fraction form
   82,155/179,631 = 179,631/x
3. Step 3: Cross multiply
   82,155x = 179,631 × 179,631
4. Step 4: Simplify right side
   82,155x = 32,267,296,161
5. Step 5: Solve for x
   x = 32,267,296,161/82,155
6. Step 6: Final answer
   x = 392,761.20