Finding the Third Proportional to 49,198 and 105,562

Step by Step Solution

1. Step 1: Write the proportion equation
   49,198 : 105,562 = 105,562 : x
2. Step 2: Convert to fraction form
   49,198/105,562 = 105,562/x
3. Step 3: Cross multiply
   49,198x = 105,562 × 105,562
4. Step 4: Simplify right side
   49,198x = 11,143,335,844
5. Step 5: Solve for x
   x = 11,143,335,844/49,198
6. Step 6: Final answer
   x = 226,499.77