Finding the Third Proportional to 89.93 and 192.45

Step by Step Solution

1. Step 1: Write the proportion equation
   89.93 : 192.45 = 192.45 : x
2. Step 2: Convert to fraction form
   89.93/192.45 = 192.45/x
3. Step 3: Cross multiply
   89.93x = 192.45 × 192.45
4. Step 4: Simplify right side
   89.93x = 37,035.20
5. Step 5: Solve for x
   x = 37,035.20/89.93
6. Step 6: Final answer
   x = 411.82