Finding the Third Proportional to 102.50 and 142

Step by Step Solution

1. Step 1: Write the proportion equation
   102.50 : 142 = 142 : x
2. Step 2: Convert to fraction form
   102.50/142 = 142/x
3. Step 3: Cross multiply
   102.50x = 142 × 142
4. Step 4: Simplify right side
   102.50x = 20,164
5. Step 5: Solve for x
   x = 20,164/102.50
6. Step 6: Final answer
   x = 196.72