Finding the Third Proportional to 205,610.50 and 322,616

Step by Step Solution

1. Step 1: Write the proportion equation
   205,610.50 : 322,616 = 322,616 : x
2. Step 2: Convert to fraction form
   205,610.50/322,616 = 322,616/x
3. Step 3: Cross multiply
   205,610.50x = 322,616 × 322,616
4. Step 4: Simplify right side
   205,610.50x = 104,081,083,456
5. Step 5: Solve for x
   x = 104,081,083,456/205,610.50
6. Step 6: Final answer
   x = 506,205.10