Finding the Third Proportional to 50.75 and 123.63

Step by Step Solution

1. Step 1: Write the proportion equation
   50.75 : 123.63 = 123.63 : x
2. Step 2: Convert to fraction form
   50.75/123.63 = 123.63/x
3. Step 3: Cross multiply
   50.75x = 123.63 × 123.63
4. Step 4: Simplify right side
   50.75x = 15,283.14
5. Step 5: Solve for x
   x = 15,283.14/50.75
6. Step 6: Final answer
   x = 301.15