Finding the Third Proportional to 180.56 and 385.59

Step by Step Solution

1. Step 1: Write the proportion equation
   180.56 : 385.59 = 385.59 : x
2. Step 2: Convert to fraction form
   180.56/385.59 = 385.59/x
3. Step 3: Cross multiply
   180.56x = 385.59 × 385.59
4. Step 4: Simplify right side
   180.56x = 148,682.54
5. Step 5: Solve for x
   x = 148,682.54/180.56
6. Step 6: Final answer
   x = 823.44