Finding the Third Proportional to 49,891 and 105,401.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,891 : 105,401.50 = 105,401.50 : x
2. Step 2: Convert to fraction form
   49,891/105,401.50 = 105,401.50/x
3. Step 3: Cross multiply
   49,891x = 105,401.50 × 105,401.50
4. Step 4: Simplify right side
   49,891x = 11,109,476,202.25
5. Step 5: Solve for x
   x = 11,109,476,202.25/49,891
6. Step 6: Final answer
   x = 222,674.96