Finding the Third Proportional to 72.56 and 162.84

Step by Step Solution

1. Step 1: Write the proportion equation
   72.56 : 162.84 = 162.84 : x
2. Step 2: Convert to fraction form
   72.56/162.84 = 162.84/x
3. Step 3: Cross multiply
   72.56x = 162.84 × 162.84
4. Step 4: Simplify right side
   72.56x = 26,518.09
5. Step 5: Solve for x
   x = 26,518.09/72.56
6. Step 6: Final answer
   x = 365.45