Finding the Third Proportional to 180.75 and 280.31

Step by Step Solution

1. Step 1: Write the proportion equation
   180.75 : 280.31 = 280.31 : x
2. Step 2: Convert to fraction form
   180.75/280.31 = 280.31/x
3. Step 3: Cross multiply
   180.75x = 280.31 × 280.31
4. Step 4: Simplify right side
   180.75x = 78,575.10
5. Step 5: Solve for x
   x = 78,575.10/180.75
6. Step 6: Final answer
   x = 434.72