Finding the Third Proportional to 47,838 and 104,290

Step by Step Solution

1. Step 1: Write the proportion equation
   47,838 : 104,290 = 104,290 : x
2. Step 2: Convert to fraction form
   47,838/104,290 = 104,290/x
3. Step 3: Cross multiply
   47,838x = 104,290 × 104,290
4. Step 4: Simplify right side
   47,838x = 10,876,404,100
5. Step 5: Solve for x
   x = 10,876,404,100/47,838
6. Step 6: Final answer
   x = 227,359.09