Finding the Third Proportional to 49,764 and 105,142

Step by Step Solution

1. Step 1: Write the proportion equation
   49,764 : 105,142 = 105,142 : x
2. Step 2: Convert to fraction form
   49,764/105,142 = 105,142/x
3. Step 3: Cross multiply
   49,764x = 105,142 × 105,142
4. Step 4: Simplify right side
   49,764x = 11,054,840,164
5. Step 5: Solve for x
   x = 11,054,840,164/49,764
6. Step 6: Final answer
   x = 222,145.33