Finding the Third Proportional to 54,969.50 and 119,814

Step by Step Solution

1. Step 1: Write the proportion equation
   54,969.50 : 119,814 = 119,814 : x
2. Step 2: Convert to fraction form
   54,969.50/119,814 = 119,814/x
3. Step 3: Cross multiply
   54,969.50x = 119,814 × 119,814
4. Step 4: Simplify right side
   54,969.50x = 14,355,394,596
5. Step 5: Solve for x
   x = 14,355,394,596/54,969.50
6. Step 6: Final answer
   x = 261,152.00