Finding the Third Proportional to 89.50 and 192.63

Step by Step Solution

1. Step 1: Write the proportion equation
   89.50 : 192.63 = 192.63 : x
2. Step 2: Convert to fraction form
   89.50/192.63 = 192.63/x
3. Step 3: Cross multiply
   89.50x = 192.63 × 192.63
4. Step 4: Simplify right side
   89.50x = 37,104.39
5. Step 5: Solve for x
   x = 37,104.39/89.50
6. Step 6: Final answer
   x = 414.57