Finding the Third Proportional to 205,071 and 321,046.50

Step by Step Solution

1. Step 1: Write the proportion equation
   205,071 : 321,046.50 = 321,046.50 : x
2. Step 2: Convert to fraction form
   205,071/321,046.50 = 321,046.50/x
3. Step 3: Cross multiply
   205,071x = 321,046.50 × 321,046.50
4. Step 4: Simplify right side
   205,071x = 103,070,855,162.25
5. Step 5: Solve for x
   x = 103,070,855,162.25/205,071
6. Step 6: Final answer
   x = 502,610.58