Finding the Third Proportional to 49,426 and 102,949

Step by Step Solution

1. Step 1: Write the proportion equation
   49,426 : 102,949 = 102,949 : x
2. Step 2: Convert to fraction form
   49,426/102,949 = 102,949/x
3. Step 3: Cross multiply
   49,426x = 102,949 × 102,949
4. Step 4: Simplify right side
   49,426x = 10,598,496,601
5. Step 5: Solve for x
   x = 10,598,496,601/49,426
6. Step 6: Final answer
   x = 214,431.61