Finding the Third Proportional to 192.38 and 417.34

Step by Step Solution

1. Step 1: Write the proportion equation
   192.38 : 417.34 = 417.34 : x
2. Step 2: Convert to fraction form
   192.38/417.34 = 417.34/x
3. Step 3: Cross multiply
   192.38x = 417.34 × 417.34
4. Step 4: Simplify right side
   192.38x = 174,172.55
5. Step 5: Solve for x
   x = 174,172.55/192.38
6. Step 6: Final answer
   x = 905.38