Finding the Third Proportional to 100.69 and 169.56

Step by Step Solution

1. Step 1: Write the proportion equation
   100.69 : 169.56 = 169.56 : x
2. Step 2: Convert to fraction form
   100.69/169.56 = 169.56/x
3. Step 3: Cross multiply
   100.69x = 169.56 × 169.56
4. Step 4: Simplify right side
   100.69x = 28,751.44
5. Step 5: Solve for x
   x = 28,751.44/100.69
6. Step 6: Final answer
   x = 285.55