Finding the Third Proportional to 180.47 and 335.31

Step by Step Solution

1. Step 1: Write the proportion equation
   180.47 : 335.31 = 335.31 : x
2. Step 2: Convert to fraction form
   180.47/335.31 = 335.31/x
3. Step 3: Cross multiply
   180.47x = 335.31 × 335.31
4. Step 4: Simplify right side
   180.47x = 112,433.82
5. Step 5: Solve for x
   x = 112,433.82/180.47
6. Step 6: Final answer
   x = 623.00