Finding the Third Proportional to 171.93 and 353.82

Step by Step Solution

1. Step 1: Write the proportion equation
   171.93 : 353.82 = 353.82 : x
2. Step 2: Convert to fraction form
   171.93/353.82 = 353.82/x
3. Step 3: Cross multiply
   171.93x = 353.82 × 353.82
4. Step 4: Simplify right side
   171.93x = 125,189.50
5. Step 5: Solve for x
   x = 125,189.50/171.93
6. Step 6: Final answer
   x = 728.15