Finding the Third Proportional to 49,296 and 105,408

Step by Step Solution

1. Step 1: Write the proportion equation
   49,296 : 105,408 = 105,408 : x
2. Step 2: Convert to fraction form
   49,296/105,408 = 105,408/x
3. Step 3: Cross multiply
   49,296x = 105,408 × 105,408
4. Step 4: Simplify right side
   49,296x = 11,110,846,464
5. Step 5: Solve for x
   x = 11,110,846,464/49,296
6. Step 6: Final answer
   x = 225,390.43