Finding the Third Proportional to 53,744 and 111,848

Step by Step Solution

1. Step 1: Write the proportion equation
   53,744 : 111,848 = 111,848 : x
2. Step 2: Convert to fraction form
   53,744/111,848 = 111,848/x
3. Step 3: Cross multiply
   53,744x = 111,848 × 111,848
4. Step 4: Simplify right side
   53,744x = 12,509,975,104
5. Step 5: Solve for x
   x = 12,509,975,104/53,744
6. Step 6: Final answer
   x = 232,769.71