Finding the Third Proportional to 49,806 and 105,336

Step by Step Solution

1. Step 1: Write the proportion equation
   49,806 : 105,336 = 105,336 : x
2. Step 2: Convert to fraction form
   49,806/105,336 = 105,336/x
3. Step 3: Cross multiply
   49,806x = 105,336 × 105,336
4. Step 4: Simplify right side
   49,806x = 11,095,672,896
5. Step 5: Solve for x
   x = 11,095,672,896/49,806
6. Step 6: Final answer
   x = 222,777.84