Finding the Third Proportional to 49,270 and 102,042

Step by Step Solution

1. Step 1: Write the proportion equation
   49,270 : 102,042 = 102,042 : x
2. Step 2: Convert to fraction form
   49,270/102,042 = 102,042/x
3. Step 3: Cross multiply
   49,270x = 102,042 × 102,042
4. Step 4: Simplify right side
   49,270x = 10,412,569,764
5. Step 5: Solve for x
   x = 10,412,569,764/49,270
6. Step 6: Final answer
   x = 211,336.91