Finding the Third Proportional to 82,233 and 177,155

Step by Step Solution

1. Step 1: Write the proportion equation
   82,233 : 177,155 = 177,155 : x
2. Step 2: Convert to fraction form
   82,233/177,155 = 177,155/x
3. Step 3: Cross multiply
   82,233x = 177,155 × 177,155
4. Step 4: Simplify right side
   82,233x = 31,383,894,025
5. Step 5: Solve for x
   x = 31,383,894,025/82,233
6. Step 6: Final answer
   x = 381,645.98