Finding the Third Proportional to 389.59 and 856.41

Step by Step Solution

1. Step 1: Write the proportion equation
   389.59 : 856.41 = 856.41 : x
2. Step 2: Convert to fraction form
   389.59/856.41 = 856.41/x
3. Step 3: Cross multiply
   389.59x = 856.41 × 856.41
4. Step 4: Simplify right side
   389.59x = 733,431.67
5. Step 5: Solve for x
   x = 733,431.67/389.59
6. Step 6: Final answer
   x = 1,882.56