Finding the Third Proportional to 49,840 and 109,021

Step by Step Solution

1. Step 1: Write the proportion equation
   49,840 : 109,021 = 109,021 : x
2. Step 2: Convert to fraction form
   49,840/109,021 = 109,021/x
3. Step 3: Cross multiply
   49,840x = 109,021 × 109,021
4. Step 4: Simplify right side
   49,840x = 11,885,578,441
5. Step 5: Solve for x
   x = 11,885,578,441/49,840
6. Step 6: Final answer
   x = 238,474.69