Finding the Third Proportional to 50,928 and 120,409.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,928 : 120,409.50 = 120,409.50 : x
2. Step 2: Convert to fraction form
   50,928/120,409.50 = 120,409.50/x
3. Step 3: Cross multiply
   50,928x = 120,409.50 × 120,409.50
4. Step 4: Simplify right side
   50,928x = 14,498,447,690.25
5. Step 5: Solve for x
   x = 14,498,447,690.25/50,928
6. Step 6: Final answer
   x = 284,685.20