Finding the Third Proportional to 415.22 and 856.59

Step by Step Solution

1. Step 1: Write the proportion equation
   415.22 : 856.59 = 856.59 : x
2. Step 2: Convert to fraction form
   415.22/856.59 = 856.59/x
3. Step 3: Cross multiply
   415.22x = 856.59 × 856.59
4. Step 4: Simplify right side
   415.22x = 733,752.85
5. Step 5: Solve for x
   x = 733,752.85/415.22
6. Step 6: Final answer
   x = 1,767.15