Finding the Third Proportional to 100.78 and 163.83

Step by Step Solution

1. Step 1: Write the proportion equation
   100.78 : 163.83 = 163.83 : x
2. Step 2: Convert to fraction form
   100.78/163.83 = 163.83/x
3. Step 3: Cross multiply
   100.78x = 163.83 × 163.83
4. Step 4: Simplify right side
   100.78x = 26,839.65
5. Step 5: Solve for x
   x = 26,839.65/100.78
6. Step 6: Final answer
   x = 266.32