Finding the Third Proportional to 49,982 and 105,576

Step by Step Solution

1. Step 1: Write the proportion equation
   49,982 : 105,576 = 105,576 : x
2. Step 2: Convert to fraction form
   49,982/105,576 = 105,576/x
3. Step 3: Cross multiply
   49,982x = 105,576 × 105,576
4. Step 4: Simplify right side
   49,982x = 11,146,291,776
5. Step 5: Solve for x
   x = 11,146,291,776/49,982
6. Step 6: Final answer
   x = 223,006.12