Finding the Third Proportional to 171.38 and 362.63

Step by Step Solution

1. Step 1: Write the proportion equation
   171.38 : 362.63 = 362.63 : x
2. Step 2: Convert to fraction form
   171.38/362.63 = 362.63/x
3. Step 3: Cross multiply
   171.38x = 362.63 × 362.63
4. Step 4: Simplify right side
   171.38x = 131,496.89
5. Step 5: Solve for x
   x = 131,496.89/171.38
6. Step 6: Final answer
   x = 767.30