Finding the Third Proportional to 53,738 and 113,876

Step by Step Solution

1. Step 1: Write the proportion equation
   53,738 : 113,876 = 113,876 : x
2. Step 2: Convert to fraction form
   53,738/113,876 = 113,876/x
3. Step 3: Cross multiply
   53,738x = 113,876 × 113,876
4. Step 4: Simplify right side
   53,738x = 12,967,743,376
5. Step 5: Solve for x
   x = 12,967,743,376/53,738
6. Step 6: Final answer
   x = 241,314.22