Finding the Third Proportional to 89.63 and 190.88

Step by Step Solution

1. Step 1: Write the proportion equation
   89.63 : 190.88 = 190.88 : x
2. Step 2: Convert to fraction form
   89.63/190.88 = 190.88/x
3. Step 3: Cross multiply
   89.63x = 190.88 × 190.88
4. Step 4: Simplify right side
   89.63x = 36,433.27
5. Step 5: Solve for x
   x = 36,433.27/89.63
6. Step 6: Final answer
   x = 406.51