Finding the Third Proportional to 53,198 and 108,826

Step by Step Solution

1. Step 1: Write the proportion equation
   53,198 : 108,826 = 108,826 : x
2. Step 2: Convert to fraction form
   53,198/108,826 = 108,826/x
3. Step 3: Cross multiply
   53,198x = 108,826 × 108,826
4. Step 4: Simplify right side
   53,198x = 11,843,098,276
5. Step 5: Solve for x
   x = 11,843,098,276/53,198
6. Step 6: Final answer
   x = 222,623.00