Finding the Third Proportional to 47,844 and 111,749.63

Step by Step Solution

1. Step 1: Write the proportion equation
   47,844 : 111,749.63 = 111,749.63 : x
2. Step 2: Convert to fraction form
   47,844/111,749.63 = 111,749.63/x
3. Step 3: Cross multiply
   47,844x = 111,749.63 × 111,749.63
4. Step 4: Simplify right side
   47,844x = 12,487,978,687.64
5. Step 5: Solve for x
   x = 12,487,978,687.64/47,844
6. Step 6: Final answer
   x = 261,014.52