Finding the Third Proportional to 73,944 and 120,142

Step by Step Solution

1. Step 1: Write the proportion equation
   73,944 : 120,142 = 120,142 : x
2. Step 2: Convert to fraction form
   73,944/120,142 = 120,142/x
3. Step 3: Cross multiply
   73,944x = 120,142 × 120,142
4. Step 4: Simplify right side
   73,944x = 14,434,100,164
5. Step 5: Solve for x
   x = 14,434,100,164/73,944
6. Step 6: Final answer
   x = 195,203.13