Finding the Third Proportional to 180.25 and 425.31

Step by Step Solution

1. Step 1: Write the proportion equation
   180.25 : 425.31 = 425.31 : x
2. Step 2: Convert to fraction form
   180.25/425.31 = 425.31/x
3. Step 3: Cross multiply
   180.25x = 425.31 × 425.31
4. Step 4: Simplify right side
   180.25x = 180,890.72
5. Step 5: Solve for x
   x = 180,890.72/180.25
6. Step 6: Final answer
   x = 1,003.55