Finding the Third Proportional to 165,540 and 256,273.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,540 : 256,273.50 = 256,273.50 : x
2. Step 2: Convert to fraction form
   165,540/256,273.50 = 256,273.50/x
3. Step 3: Cross multiply
   165,540x = 256,273.50 × 256,273.50
4. Step 4: Simplify right side
   165,540x = 65,676,106,802.25
5. Step 5: Solve for x
   x = 65,676,106,802.25/165,540
6. Step 6: Final answer
   x = 396,738.59