Finding the Third Proportional to 55,084 and 119,510

Step by Step Solution

1. Step 1: Write the proportion equation
   55,084 : 119,510 = 119,510 : x
2. Step 2: Convert to fraction form
   55,084/119,510 = 119,510/x
3. Step 3: Cross multiply
   55,084x = 119,510 × 119,510
4. Step 4: Simplify right side
   55,084x = 14,282,640,100
5. Step 5: Solve for x
   x = 14,282,640,100/55,084
6. Step 6: Final answer
   x = 259,288.36