Finding the Third Proportional to 77.34 and 142.03

Step by Step Solution

1. Step 1: Write the proportion equation
   77.34 : 142.03 = 142.03 : x
2. Step 2: Convert to fraction form
   77.34/142.03 = 142.03/x
3. Step 3: Cross multiply
   77.34x = 142.03 × 142.03
4. Step 4: Simplify right side
   77.34x = 20,172.88
5. Step 5: Solve for x
   x = 20,172.88/77.34
6. Step 6: Final answer
   x = 260.82