Finding the Third Proportional to 100.08 and 160.55

Step by Step Solution

1. Step 1: Write the proportion equation
   100.08 : 160.55 = 160.55 : x
2. Step 2: Convert to fraction form
   100.08/160.55 = 160.55/x
3. Step 3: Cross multiply
   100.08x = 160.55 × 160.55
4. Step 4: Simplify right side
   100.08x = 25,775.30
5. Step 5: Solve for x
   x = 25,775.30/100.08
6. Step 6: Final answer
   x = 257.55