Finding the Third Proportional to 100.69 and 166.38

Step by Step Solution

1. Step 1: Write the proportion equation
   100.69 : 166.38 = 166.38 : x
2. Step 2: Convert to fraction form
   100.69/166.38 = 166.38/x
3. Step 3: Cross multiply
   100.69x = 166.38 × 166.38
4. Step 4: Simplify right side
   100.69x = 27,680.64
5. Step 5: Solve for x
   x = 27,680.64/100.69
6. Step 6: Final answer
   x = 274.92