Finding the Third Proportional to 101.38 and 168.94

Step by Step Solution

1. Step 1: Write the proportion equation
   101.38 : 168.94 = 168.94 : x
2. Step 2: Convert to fraction form
   101.38/168.94 = 168.94/x
3. Step 3: Cross multiply
   101.38x = 168.94 × 168.94
4. Step 4: Simplify right side
   101.38x = 28,539.88
5. Step 5: Solve for x
   x = 28,539.88/101.38
6. Step 6: Final answer
   x = 281.53