Finding the Third Proportional to 50,584 and 106,496

Step by Step Solution

1. Step 1: Write the proportion equation
   50,584 : 106,496 = 106,496 : x
2. Step 2: Convert to fraction form
   50,584/106,496 = 106,496/x
3. Step 3: Cross multiply
   50,584x = 106,496 × 106,496
4. Step 4: Simplify right side
   50,584x = 11,341,398,016
5. Step 5: Solve for x
   x = 11,341,398,016/50,584
6. Step 6: Final answer
   x = 224,209.20