Finding the Third Proportional to 171.07 and 264.73

Step by Step Solution

1. Step 1: Write the proportion equation
   171.07 : 264.73 = 264.73 : x
2. Step 2: Convert to fraction form
   171.07/264.73 = 264.73/x
3. Step 3: Cross multiply
   171.07x = 264.73 × 264.73
4. Step 4: Simplify right side
   171.07x = 70,080.15
5. Step 5: Solve for x
   x = 70,080.15/171.07
6. Step 6: Final answer
   x = 409.66