Finding the Third Proportional to 50,025 and 105,678

Step by Step Solution

1. Step 1: Write the proportion equation
   50,025 : 105,678 = 105,678 : x
2. Step 2: Convert to fraction form
   50,025/105,678 = 105,678/x
3. Step 3: Cross multiply
   50,025x = 105,678 × 105,678
4. Step 4: Simplify right side
   50,025x = 11,167,839,684
5. Step 5: Solve for x
   x = 11,167,839,684/50,025
6. Step 6: Final answer
   x = 223,245.17