Finding the Third Proportional to 192.56 and 417.38

Step by Step Solution

1. Step 1: Write the proportion equation
   192.56 : 417.38 = 417.38 : x
2. Step 2: Convert to fraction form
   192.56/417.38 = 417.38/x
3. Step 3: Cross multiply
   192.56x = 417.38 × 417.38
4. Step 4: Simplify right side
   192.56x = 174,201.89
5. Step 5: Solve for x
   x = 174,201.89/192.56
6. Step 6: Final answer
   x = 904.65