Finding the Third Proportional to 85.56 and 160.38

Step by Step Solution

1. Step 1: Write the proportion equation
   85.56 : 160.38 = 160.38 : x
2. Step 2: Convert to fraction form
   85.56/160.38 = 160.38/x
3. Step 3: Cross multiply
   85.56x = 160.38 × 160.38
4. Step 4: Simplify right side
   85.56x = 25,720.14
5. Step 5: Solve for x
   x = 25,720.14/85.56
6. Step 6: Final answer
   x = 300.60