Finding the Third Proportional to 53,742 and 111,844

Step by Step Solution

1. Step 1: Write the proportion equation
   53,742 : 111,844 = 111,844 : x
2. Step 2: Convert to fraction form
   53,742/111,844 = 111,844/x
3. Step 3: Cross multiply
   53,742x = 111,844 × 111,844
4. Step 4: Simplify right side
   53,742x = 12,509,080,336
5. Step 5: Solve for x
   x = 12,509,080,336/53,742
6. Step 6: Final answer
   x = 232,761.72