Finding the Third Proportional to 49,857 and 105,342

Step by Step Solution

1. Step 1: Write the proportion equation
   49,857 : 105,342 = 105,342 : x
2. Step 2: Convert to fraction form
   49,857/105,342 = 105,342/x
3. Step 3: Cross multiply
   49,857x = 105,342 × 105,342
4. Step 4: Simplify right side
   49,857x = 11,096,936,964
5. Step 5: Solve for x
   x = 11,096,936,964/49,857
6. Step 6: Final answer
   x = 222,575.30