Finding the Third Proportional to 49,922 and 109,828

Step by Step Solution

1. Step 1: Write the proportion equation
   49,922 : 109,828 = 109,828 : x
2. Step 2: Convert to fraction form
   49,922/109,828 = 109,828/x
3. Step 3: Cross multiply
   49,922x = 109,828 × 109,828
4. Step 4: Simplify right side
   49,922x = 12,062,189,584
5. Step 5: Solve for x
   x = 12,062,189,584/49,922
6. Step 6: Final answer
   x = 241,620.72