Finding the Third Proportional to 104.34 and 142.78

Step by Step Solution

1. Step 1: Write the proportion equation
   104.34 : 142.78 = 142.78 : x
2. Step 2: Convert to fraction form
   104.34/142.78 = 142.78/x
3. Step 3: Cross multiply
   104.34x = 142.78 × 142.78
4. Step 4: Simplify right side
   104.34x = 20,386.49
5. Step 5: Solve for x
   x = 20,386.49/104.34
6. Step 6: Final answer
   x = 195.38