Finding the Third Proportional to 89.15 and 192.53

Step by Step Solution

1. Step 1: Write the proportion equation
   89.15 : 192.53 = 192.53 : x
2. Step 2: Convert to fraction form
   89.15/192.53 = 192.53/x
3. Step 3: Cross multiply
   89.15x = 192.53 × 192.53
4. Step 4: Simplify right side
   89.15x = 37,069.03
5. Step 5: Solve for x
   x = 37,069.03/89.15
6. Step 6: Final answer
   x = 415.82