Finding the Third Proportional to 257,456.25 and 560,682

Step by Step Solution

1. Step 1: Write the proportion equation
   257,456.25 : 560,682 = 560,682 : x
2. Step 2: Convert to fraction form
   257,456.25/560,682 = 560,682/x
3. Step 3: Cross multiply
   257,456.25x = 560,682 × 560,682
4. Step 4: Simplify right side
   257,456.25x = 314,364,305,124
5. Step 5: Solve for x
   x = 314,364,305,124/257,456.25
6. Step 6: Final answer
   x = 1,221,039.71