Finding the Third Proportional to 140.45 and 216.53

Step by Step Solution

1. Step 1: Write the proportion equation
   140.45 : 216.53 = 216.53 : x
2. Step 2: Convert to fraction form
   140.45/216.53 = 216.53/x
3. Step 3: Cross multiply
   140.45x = 216.53 × 216.53
4. Step 4: Simplify right side
   140.45x = 46,884.09
5. Step 5: Solve for x
   x = 46,884.09/140.45
6. Step 6: Final answer
   x = 333.82