Finding the Third Proportional to 165,539.25 and 256,272

Step by Step Solution

1. Step 1: Write the proportion equation
   165,539.25 : 256,272 = 256,272 : x
2. Step 2: Convert to fraction form
   165,539.25/256,272 = 256,272/x
3. Step 3: Cross multiply
   165,539.25x = 256,272 × 256,272
4. Step 4: Simplify right side
   165,539.25x = 65,675,337,984
5. Step 5: Solve for x
   x = 65,675,337,984/165,539.25
6. Step 6: Final answer
   x = 396,735.75