Finding the Third Proportional to 55,204 and 119,150

Step by Step Solution

1. Step 1: Write the proportion equation
   55,204 : 119,150 = 119,150 : x
2. Step 2: Convert to fraction form
   55,204/119,150 = 119,150/x
3. Step 3: Cross multiply
   55,204x = 119,150 × 119,150
4. Step 4: Simplify right side
   55,204x = 14,196,722,500
5. Step 5: Solve for x
   x = 14,196,722,500/55,204
6. Step 6: Final answer
   x = 257,168.37