Finding the Third Proportional to 256,735.69 and 547,819.31

Step by Step Solution

1. Step 1: Write the proportion equation
   256,735.69 : 547,819.31 = 547,819.31 : x
2. Step 2: Convert to fraction form
   256,735.69/547,819.31 = 547,819.31/x
3. Step 3: Cross multiply
   256,735.69x = 547,819.31 × 547,819.31
4. Step 4: Simplify right side
   256,735.69x = 300,105,999,147.97
5. Step 5: Solve for x
   x = 300,105,999,147.97/256,735.69
6. Step 6: Final answer
   x = 1,168,929.81