Finding the Third Proportional to 82,013.50 and 179,345

Step by Step Solution

1. Step 1: Write the proportion equation
   82,013.50 : 179,345 = 179,345 : x
2. Step 2: Convert to fraction form
   82,013.50/179,345 = 179,345/x
3. Step 3: Cross multiply
   82,013.50x = 179,345 × 179,345
4. Step 4: Simplify right side
   82,013.50x = 32,164,629,025
5. Step 5: Solve for x
   x = 32,164,629,025/82,013.50
6. Step 6: Final answer
   x = 392,187.01