Finding the Third Proportional to 338.55 and 501.82

Step by Step Solution

1. Step 1: Write the proportion equation
   338.55 : 501.82 = 501.82 : x
2. Step 2: Convert to fraction form
   338.55/501.82 = 501.82/x
3. Step 3: Cross multiply
   338.55x = 501.82 × 501.82
4. Step 4: Simplify right side
   338.55x = 251,823.63
5. Step 5: Solve for x
   x = 251,823.63/338.55
6. Step 6: Final answer
   x = 743.82