Finding the Third Proportional to 59.25 and 140.63

Step by Step Solution

1. Step 1: Write the proportion equation
   59.25 : 140.63 = 140.63 : x
2. Step 2: Convert to fraction form
   59.25/140.63 = 140.63/x
3. Step 3: Cross multiply
   59.25x = 140.63 × 140.63
4. Step 4: Simplify right side
   59.25x = 19,775.39
5. Step 5: Solve for x
   x = 19,775.39/59.25
6. Step 6: Final answer
   x = 333.76