Finding the Third Proportional to 50,406 and 106,008

Step by Step Solution

1. Step 1: Write the proportion equation
   50,406 : 106,008 = 106,008 : x
2. Step 2: Convert to fraction form
   50,406/106,008 = 106,008/x
3. Step 3: Cross multiply
   50,406x = 106,008 × 106,008
4. Step 4: Simplify right side
   50,406x = 11,237,696,064
5. Step 5: Solve for x
   x = 11,237,696,064/50,406
6. Step 6: Final answer
   x = 222,943.62