Finding the Third Proportional to 180.56 and 246.56

Step by Step Solution

1. Step 1: Write the proportion equation
   180.56 : 246.56 = 246.56 : x
2. Step 2: Convert to fraction form
   180.56/246.56 = 246.56/x
3. Step 3: Cross multiply
   180.56x = 246.56 × 246.56
4. Step 4: Simplify right side
   180.56x = 60,793.07
5. Step 5: Solve for x
   x = 60,793.07/180.56
6. Step 6: Final answer
   x = 336.69