Finding the Third Proportional to 49,186 and 105,538

Step by Step Solution

1. Step 1: Write the proportion equation
   49,186 : 105,538 = 105,538 : x
2. Step 2: Convert to fraction form
   49,186/105,538 = 105,538/x
3. Step 3: Cross multiply
   49,186x = 105,538 × 105,538
4. Step 4: Simplify right side
   49,186x = 11,138,269,444
5. Step 5: Solve for x
   x = 11,138,269,444/49,186
6. Step 6: Final answer
   x = 226,452.03