Finding the Third Proportional to 162.56 and 360.94

Step by Step Solution

1. Step 1: Write the proportion equation
   162.56 : 360.94 = 360.94 : x
2. Step 2: Convert to fraction form
   162.56/360.94 = 360.94/x
3. Step 3: Cross multiply
   162.56x = 360.94 × 360.94
4. Step 4: Simplify right side
   162.56x = 130,275.88
5. Step 5: Solve for x
   x = 130,275.88/162.56
6. Step 6: Final answer
   x = 801.39