Finding the Third Proportional to 180.56 and 477.56

Step by Step Solution

1. Step 1: Write the proportion equation
   180.56 : 477.56 = 477.56 : x
2. Step 2: Convert to fraction form
   180.56/477.56 = 477.56/x
3. Step 3: Cross multiply
   180.56x = 477.56 × 477.56
4. Step 4: Simplify right side
   180.56x = 228,065.94
5. Step 5: Solve for x
   x = 228,065.94/180.56
6. Step 6: Final answer
   x = 1,263.09