Finding the Third Proportional to 257,564.25 and 564,336

Step by Step Solution

1. Step 1: Write the proportion equation
   257,564.25 : 564,336 = 564,336 : x
2. Step 2: Convert to fraction form
   257,564.25/564,336 = 564,336/x
3. Step 3: Cross multiply
   257,564.25x = 564,336 × 564,336
4. Step 4: Simplify right side
   257,564.25x = 318,475,120,896
5. Step 5: Solve for x
   x = 318,475,120,896/257,564.25
6. Step 6: Final answer
   x = 1,236,488.06