Finding the Third Proportional to 50.78 and 100.14

Step by Step Solution

1. Step 1: Write the proportion equation
   50.78 : 100.14 = 100.14 : x
2. Step 2: Convert to fraction form
   50.78/100.14 = 100.14/x
3. Step 3: Cross multiply
   50.78x = 100.14 × 100.14
4. Step 4: Simplify right side
   50.78x = 10,028.54
5. Step 5: Solve for x
   x = 10,028.54/50.78
6. Step 6: Final answer
   x = 197.48