Finding the Third Proportional to 90.56 and 192.38

Step by Step Solution

1. Step 1: Write the proportion equation
   90.56 : 192.38 = 192.38 : x
2. Step 2: Convert to fraction form
   90.56/192.38 = 192.38/x
3. Step 3: Cross multiply
   90.56x = 192.38 × 192.38
4. Step 4: Simplify right side
   90.56x = 37,008.14
5. Step 5: Solve for x
   x = 37,008.14/90.56
6. Step 6: Final answer
   x = 408.65