Finding the Third Proportional to 50,944 and 120,442

Step by Step Solution

1. Step 1: Write the proportion equation
   50,944 : 120,442 = 120,442 : x
2. Step 2: Convert to fraction form
   50,944/120,442 = 120,442/x
3. Step 3: Cross multiply
   50,944x = 120,442 × 120,442
4. Step 4: Simplify right side
   50,944x = 14,506,275,364
5. Step 5: Solve for x
   x = 14,506,275,364/50,944
6. Step 6: Final answer
   x = 284,749.44