Finding the Third Proportional to 83,227.50 and 179,757

Step by Step Solution

1. Step 1: Write the proportion equation
   83,227.50 : 179,757 = 179,757 : x
2. Step 2: Convert to fraction form
   83,227.50/179,757 = 179,757/x
3. Step 3: Cross multiply
   83,227.50x = 179,757 × 179,757
4. Step 4: Simplify right side
   83,227.50x = 32,312,579,049
5. Step 5: Solve for x
   x = 32,312,579,049/83,227.50
6. Step 6: Final answer
   x = 388,244.02