Finding the Third Proportional to 47,838 and 105,336

Step by Step Solution

1. Step 1: Write the proportion equation
   47,838 : 105,336 = 105,336 : x
2. Step 2: Convert to fraction form
   47,838/105,336 = 105,336/x
3. Step 3: Cross multiply
   47,838x = 105,336 × 105,336
4. Step 4: Simplify right side
   47,838x = 11,095,672,896
5. Step 5: Solve for x
   x = 11,095,672,896/47,838
6. Step 6: Final answer
   x = 231,942.66