Finding the Third Proportional to 49,082 and 105,998

Step by Step Solution

1. Step 1: Write the proportion equation
   49,082 : 105,998 = 105,998 : x
2. Step 2: Convert to fraction form
   49,082/105,998 = 105,998/x
3. Step 3: Cross multiply
   49,082x = 105,998 × 105,998
4. Step 4: Simplify right side
   49,082x = 11,235,576,004
5. Step 5: Solve for x
   x = 11,235,576,004/49,082
6. Step 6: Final answer
   x = 228,914.39