Finding the Third Proportional to 53,204 and 108,838

Step by Step Solution

1. Step 1: Write the proportion equation
   53,204 : 108,838 = 108,838 : x
2. Step 2: Convert to fraction form
   53,204/108,838 = 108,838/x
3. Step 3: Cross multiply
   53,204x = 108,838 × 108,838
4. Step 4: Simplify right side
   53,204x = 11,845,710,244
5. Step 5: Solve for x
   x = 11,845,710,244/53,204
6. Step 6: Final answer
   x = 222,646.99