Finding the Third Proportional to 50,096 and 118,472

Step by Step Solution

1. Step 1: Write the proportion equation
   50,096 : 118,472 = 118,472 : x
2. Step 2: Convert to fraction form
   50,096/118,472 = 118,472/x
3. Step 3: Cross multiply
   50,096x = 118,472 × 118,472
4. Step 4: Simplify right side
   50,096x = 14,035,614,784
5. Step 5: Solve for x
   x = 14,035,614,784/50,096
6. Step 6: Final answer
   x = 280,174.36