Finding the Third Proportional to 40.50 and 84.56

Step by Step Solution

1. Step 1: Write the proportion equation
   40.50 : 84.56 = 84.56 : x
2. Step 2: Convert to fraction form
   40.50/84.56 = 84.56/x
3. Step 3: Cross multiply
   40.50x = 84.56 × 84.56
4. Step 4: Simplify right side
   40.50x = 7,150.82
5. Step 5: Solve for x
   x = 7,150.82/40.50
6. Step 6: Final answer
   x = 176.56