Finding the Third Proportional to 205,072.88 and 321,049.69

Step by Step Solution

1. Step 1: Write the proportion equation
   205,072.88 : 321,049.69 = 321,049.69 : x
2. Step 2: Convert to fraction form
   205,072.88/321,049.69 = 321,049.69/x
3. Step 3: Cross multiply
   205,072.88x = 321,049.69 × 321,049.69
4. Step 4: Simplify right side
   205,072.88x = 103,072,901,843.85
5. Step 5: Solve for x
   x = 103,072,901,843.85/205,072.88
6. Step 6: Final answer
   x = 502,615.97