Finding the Third Proportional to 50,416.50 and 105,993

Step by Step Solution

1. Step 1: Write the proportion equation
   50,416.50 : 105,993 = 105,993 : x
2. Step 2: Convert to fraction form
   50,416.50/105,993 = 105,993/x
3. Step 3: Cross multiply
   50,416.50x = 105,993 × 105,993
4. Step 4: Simplify right side
   50,416.50x = 11,234,516,049
5. Step 5: Solve for x
   x = 11,234,516,049/50,416.50
6. Step 6: Final answer
   x = 222,834.11