Finding the Third Proportional to 49,779 and 105,399

Step by Step Solution

1. Step 1: Write the proportion equation
   49,779 : 105,399 = 105,399 : x
2. Step 2: Convert to fraction form
   49,779/105,399 = 105,399/x
3. Step 3: Cross multiply
   49,779x = 105,399 × 105,399
4. Step 4: Simplify right side
   49,779x = 11,108,949,201
5. Step 5: Solve for x
   x = 11,108,949,201/49,779
6. Step 6: Final answer
   x = 223,165.37