Finding the Third Proportional to 171.44 and 392.56

Step by Step Solution

1. Step 1: Write the proportion equation
   171.44 : 392.56 = 392.56 : x
2. Step 2: Convert to fraction form
   171.44/392.56 = 392.56/x
3. Step 3: Cross multiply
   171.44x = 392.56 × 392.56
4. Step 4: Simplify right side
   171.44x = 154,105.32
5. Step 5: Solve for x
   x = 154,105.32/171.44
6. Step 6: Final answer
   x = 898.90