Finding the Third Proportional to 89.63 and 191.63

Step by Step Solution

1. Step 1: Write the proportion equation
   89.63 : 191.63 = 191.63 : x
2. Step 2: Convert to fraction form
   89.63/191.63 = 191.63/x
3. Step 3: Cross multiply
   89.63x = 191.63 × 191.63
4. Step 4: Simplify right side
   89.63x = 36,720.14
5. Step 5: Solve for x
   x = 36,720.14/89.63
6. Step 6: Final answer
   x = 409.71