Finding the Third Proportional to 50,736 and 105,008

Step by Step Solution

1. Step 1: Write the proportion equation
   50,736 : 105,008 = 105,008 : x
2. Step 2: Convert to fraction form
   50,736/105,008 = 105,008/x
3. Step 3: Cross multiply
   50,736x = 105,008 × 105,008
4. Step 4: Simplify right side
   50,736x = 11,026,680,064
5. Step 5: Solve for x
   x = 11,026,680,064/50,736
6. Step 6: Final answer
   x = 217,334.44