Finding the Third Proportional to 205,068 and 321,042.25

Step by Step Solution

1. Step 1: Write the proportion equation
   205,068 : 321,042.25 = 321,042.25 : x
2. Step 2: Convert to fraction form
   205,068/321,042.25 = 321,042.25/x
3. Step 3: Cross multiply
   205,068x = 321,042.25 × 321,042.25
4. Step 4: Simplify right side
   205,068x = 103,068,126,285.06
5. Step 5: Solve for x
   x = 103,068,126,285.06/205,068
6. Step 6: Final answer
   x = 502,604.63