Finding the Third Proportional to 128.41 and 192.61

Step by Step Solution

1. Step 1: Write the proportion equation
   128.41 : 192.61 = 192.61 : x
2. Step 2: Convert to fraction form
   128.41/192.61 = 192.61/x
3. Step 3: Cross multiply
   128.41x = 192.61 × 192.61
4. Step 4: Simplify right side
   128.41x = 37,099.50
5. Step 5: Solve for x
   x = 37,099.50/128.41
6. Step 6: Final answer
   x = 288.92