Finding the Third Proportional to 102.09 and 142.59

Step by Step Solution

1. Step 1: Write the proportion equation
   102.09 : 142.59 = 142.59 : x
2. Step 2: Convert to fraction form
   102.09/142.59 = 142.59/x
3. Step 3: Cross multiply
   102.09x = 142.59 × 142.59
4. Step 4: Simplify right side
   102.09x = 20,332.98
5. Step 5: Solve for x
   x = 20,332.98/102.09
6. Step 6: Final answer
   x = 199.16