Finding the Third Proportional to 49,436 and 102,142

Step by Step Solution

1. Step 1: Write the proportion equation
   49,436 : 102,142 = 102,142 : x
2. Step 2: Convert to fraction form
   49,436/102,142 = 102,142/x
3. Step 3: Cross multiply
   49,436x = 102,142 × 102,142
4. Step 4: Simplify right side
   49,436x = 10,432,988,164
5. Step 5: Solve for x
   x = 10,432,988,164/49,436
6. Step 6: Final answer
   x = 211,040.30