Finding the Third Proportional to 45.14 and 102.02

Step by Step Solution

1. Step 1: Write the proportion equation
   45.14 : 102.02 = 102.02 : x
2. Step 2: Convert to fraction form
   45.14/102.02 = 102.02/x
3. Step 3: Cross multiply
   45.14x = 102.02 × 102.02
4. Step 4: Simplify right side
   45.14x = 10,408.78
5. Step 5: Solve for x
   x = 10,408.78/45.14
6. Step 6: Final answer
   x = 230.59