Finding the Third Proportional to 53,749 and 111,910

Step by Step Solution

1. Step 1: Write the proportion equation
   53,749 : 111,910 = 111,910 : x
2. Step 2: Convert to fraction form
   53,749/111,910 = 111,910/x
3. Step 3: Cross multiply
   53,749x = 111,910 × 111,910
4. Step 4: Simplify right side
   53,749x = 12,523,848,100
5. Step 5: Solve for x
   x = 12,523,848,100/53,749
6. Step 6: Final answer
   x = 233,006.16