Finding the Third Proportional to 256,362 and 397,975.50

Step by Step Solution

1. Step 1: Write the proportion equation
   256,362 : 397,975.50 = 397,975.50 : x
2. Step 2: Convert to fraction form
   256,362/397,975.50 = 397,975.50/x
3. Step 3: Cross multiply
   256,362x = 397,975.50 × 397,975.50
4. Step 4: Simplify right side
   256,362x = 158,384,498,600.25
5. Step 5: Solve for x
   x = 158,384,498,600.25/256,362
6. Step 6: Final answer
   x = 617,815.82