Finding the Third Proportional to 49,848 and 107,004

Step by Step Solution

1. Step 1: Write the proportion equation
   49,848 : 107,004 = 107,004 : x
2. Step 2: Convert to fraction form
   49,848/107,004 = 107,004/x
3. Step 3: Cross multiply
   49,848x = 107,004 × 107,004
4. Step 4: Simplify right side
   49,848x = 11,449,856,016
5. Step 5: Solve for x
   x = 11,449,856,016/49,848
6. Step 6: Final answer
   x = 229,695.39