Finding the Third Proportional to 171.69 and 381.88

Step by Step Solution

1. Step 1: Write the proportion equation
   171.69 : 381.88 = 381.88 : x
2. Step 2: Convert to fraction form
   171.69/381.88 = 381.88/x
3. Step 3: Cross multiply
   171.69x = 381.88 × 381.88
4. Step 4: Simplify right side
   171.69x = 145,828.52
5. Step 5: Solve for x
   x = 145,828.52/171.69
6. Step 6: Final answer
   x = 849.38