Finding the Third Proportional to 168.38 and 353.63

Step by Step Solution

1. Step 1: Write the proportion equation
   168.38 : 353.63 = 353.63 : x
2. Step 2: Convert to fraction form
   168.38/353.63 = 353.63/x
3. Step 3: Cross multiply
   168.38x = 353.63 × 353.63
4. Step 4: Simplify right side
   168.38x = 125,050.64
5. Step 5: Solve for x
   x = 125,050.64/168.38
6. Step 6: Final answer
   x = 742.69