Finding the Third Proportional to 77,744 and 120,050

Step by Step Solution

1. Step 1: Write the proportion equation
   77,744 : 120,050 = 120,050 : x
2. Step 2: Convert to fraction form
   77,744/120,050 = 120,050/x
3. Step 3: Cross multiply
   77,744x = 120,050 × 120,050
4. Step 4: Simplify right side
   77,744x = 14,412,002,500
5. Step 5: Solve for x
   x = 14,412,002,500/77,744
6. Step 6: Final answer
   x = 185,377.68