Finding the Third Proportional to 557.43 and 856.43

Step by Step Solution

1. Step 1: Write the proportion equation
   557.43 : 856.43 = 856.43 : x
2. Step 2: Convert to fraction form
   557.43/856.43 = 856.43/x
3. Step 3: Cross multiply
   557.43x = 856.43 × 856.43
4. Step 4: Simplify right side
   557.43x = 733,476.83
5. Step 5: Solve for x
   x = 733,476.83/557.43
6. Step 6: Final answer
   x = 1,315.82