Finding the Third Proportional to 132.56 and 192.56

Step by Step Solution

1. Step 1: Write the proportion equation
   132.56 : 192.56 = 192.56 : x
2. Step 2: Convert to fraction form
   132.56/192.56 = 192.56/x
3. Step 3: Cross multiply
   132.56x = 192.56 × 192.56
4. Step 4: Simplify right side
   132.56x = 37,080.32
5. Step 5: Solve for x
   x = 37,080.32/132.56
6. Step 6: Final answer
   x = 279.72