Finding the Third Proportional to 50,962 and 119,910.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,962 : 119,910.50 = 119,910.50 : x
2. Step 2: Convert to fraction form
   50,962/119,910.50 = 119,910.50/x
3. Step 3: Cross multiply
   50,962x = 119,910.50 × 119,910.50
4. Step 4: Simplify right side
   50,962x = 14,378,528,010.25
5. Step 5: Solve for x
   x = 14,378,528,010.25/50,962
6. Step 6: Final answer
   x = 282,142.15