Finding the Third Proportional to 82,648.50 and 179,295

Step by Step Solution

1. Step 1: Write the proportion equation
   82,648.50 : 179,295 = 179,295 : x
2. Step 2: Convert to fraction form
   82,648.50/179,295 = 179,295/x
3. Step 3: Cross multiply
   82,648.50x = 179,295 × 179,295
4. Step 4: Simplify right side
   82,648.50x = 32,146,697,025
5. Step 5: Solve for x
   x = 32,146,697,025/82,648.50
6. Step 6: Final answer
   x = 388,956.81