Finding the Third Proportional to 49,781 and 105,391

Step by Step Solution

1. Step 1: Write the proportion equation
   49,781 : 105,391 = 105,391 : x
2. Step 2: Convert to fraction form
   49,781/105,391 = 105,391/x
3. Step 3: Cross multiply
   49,781x = 105,391 × 105,391
4. Step 4: Simplify right side
   49,781x = 11,107,262,881
5. Step 5: Solve for x
   x = 11,107,262,881/49,781
6. Step 6: Final answer
   x = 223,122.53