Finding the Third Proportional to 50,982 and 111,813

Step by Step Solution

1. Step 1: Write the proportion equation
   50,982 : 111,813 = 111,813 : x
2. Step 2: Convert to fraction form
   50,982/111,813 = 111,813/x
3. Step 3: Cross multiply
   50,982x = 111,813 × 111,813
4. Step 4: Simplify right side
   50,982x = 12,502,146,969
5. Step 5: Solve for x
   x = 12,502,146,969/50,982
6. Step 6: Final answer
   x = 245,226.69