Finding the Third Proportional to 162.94 and 404.34

Step by Step Solution

1. Step 1: Write the proportion equation
   162.94 : 404.34 = 404.34 : x
2. Step 2: Convert to fraction form
   162.94/404.34 = 404.34/x
3. Step 3: Cross multiply
   162.94x = 404.34 × 404.34
4. Step 4: Simplify right side
   162.94x = 163,493.87
5. Step 5: Solve for x
   x = 163,493.87/162.94
6. Step 6: Final answer
   x = 1,003.41