Finding the Third Proportional to 162.56 and 344.25

Step by Step Solution

1. Step 1: Write the proportion equation
   162.56 : 344.25 = 344.25 : x
2. Step 2: Convert to fraction form
   162.56/344.25 = 344.25/x
3. Step 3: Cross multiply
   162.56x = 344.25 × 344.25
4. Step 4: Simplify right side
   162.56x = 118,508.06
5. Step 5: Solve for x
   x = 118,508.06/162.56
6. Step 6: Final answer
   x = 729