Finding the Third Proportional to 53,747 and 111,854

Step by Step Solution

1. Step 1: Write the proportion equation
   53,747 : 111,854 = 111,854 : x
2. Step 2: Convert to fraction form
   53,747/111,854 = 111,854/x
3. Step 3: Cross multiply
   53,747x = 111,854 × 111,854
4. Step 4: Simplify right side
   53,747x = 12,511,317,316
5. Step 5: Solve for x
   x = 12,511,317,316/53,747
6. Step 6: Final answer
   x = 232,781.69