Finding the Third Proportional to 89.63 and 192.56

Step by Step Solution

1. Step 1: Write the proportion equation
   89.63 : 192.56 = 192.56 : x
2. Step 2: Convert to fraction form
   89.63/192.56 = 192.56/x
3. Step 3: Cross multiply
   89.63x = 192.56 × 192.56
4. Step 4: Simplify right side
   89.63x = 37,080.32
5. Step 5: Solve for x
   x = 37,080.32/89.63
6. Step 6: Final answer
   x = 413.73