Finding the Third Proportional to 204,877.69 and 320,680.69

Step by Step Solution

1. Step 1: Write the proportion equation
   204,877.69 : 320,680.69 = 320,680.69 : x
2. Step 2: Convert to fraction form
   204,877.69/320,680.69 = 320,680.69/x
3. Step 3: Cross multiply
   204,877.69x = 320,680.69 × 320,680.69
4. Step 4: Simplify right side
   204,877.69x = 102,836,103,335.47
5. Step 5: Solve for x
   x = 102,836,103,335.47/204,877.69
6. Step 6: Final answer
   x = 501,939.01