Finding the Third Proportional to 50,112 and 105,084

Step by Step Solution

1. Step 1: Write the proportion equation
   50,112 : 105,084 = 105,084 : x
2. Step 2: Convert to fraction form
   50,112/105,084 = 105,084/x
3. Step 3: Cross multiply
   50,112x = 105,084 × 105,084
4. Step 4: Simplify right side
   50,112x = 11,042,647,056
5. Step 5: Solve for x
   x = 11,042,647,056/50,112
6. Step 6: Final answer
   x = 220,359.34