Finding the Third Proportional to 172.13 and 404.16

Step by Step Solution

1. Step 1: Write the proportion equation
   172.13 : 404.16 = 404.16 : x
2. Step 2: Convert to fraction form
   172.13/404.16 = 404.16/x
3. Step 3: Cross multiply
   172.13x = 404.16 × 404.16
4. Step 4: Simplify right side
   172.13x = 163,342.27
5. Step 5: Solve for x
   x = 163,342.27/172.13
6. Step 6: Final answer
   x = 948.97