Finding the Third Proportional to 205,614.50 and 322,622

Step by Step Solution

1. Step 1: Write the proportion equation
   205,614.50 : 322,622 = 322,622 : x
2. Step 2: Convert to fraction form
   205,614.50/322,622 = 322,622/x
3. Step 3: Cross multiply
   205,614.50x = 322,622 × 322,622
4. Step 4: Simplify right side
   205,614.50x = 104,084,954,884
5. Step 5: Solve for x
   x = 104,084,954,884/205,614.50
6. Step 6: Final answer
   x = 506,214.08