Finding the Third Proportional to 82,355.50 and 179,771

Step by Step Solution

1. Step 1: Write the proportion equation
   82,355.50 : 179,771 = 179,771 : x
2. Step 2: Convert to fraction form
   82,355.50/179,771 = 179,771/x
3. Step 3: Cross multiply
   82,355.50x = 179,771 × 179,771
4. Step 4: Simplify right side
   82,355.50x = 32,317,612,441
5. Step 5: Solve for x
   x = 32,317,612,441/82,355.50
6. Step 6: Final answer
   x = 392,415.96