Finding the Third Proportional to 74.53 and 168.61

Step by Step Solution

1. Step 1: Write the proportion equation
   74.53 : 168.61 = 168.61 : x
2. Step 2: Convert to fraction form
   74.53/168.61 = 168.61/x
3. Step 3: Cross multiply
   74.53x = 168.61 × 168.61
4. Step 4: Simplify right side
   74.53x = 28,429.12
5. Step 5: Solve for x
   x = 28,429.12/74.53
6. Step 6: Final answer
   x = 381.44