Finding the Third Proportional to 47,936 and 105,008

Step by Step Solution

1. Step 1: Write the proportion equation
   47,936 : 105,008 = 105,008 : x
2. Step 2: Convert to fraction form
   47,936/105,008 = 105,008/x
3. Step 3: Cross multiply
   47,936x = 105,008 × 105,008
4. Step 4: Simplify right side
   47,936x = 11,026,680,064
5. Step 5: Solve for x
   x = 11,026,680,064/47,936
6. Step 6: Final answer
   x = 230,029.21