Finding the Third Proportional to 51,838 and 111,848

Step by Step Solution

1. Step 1: Write the proportion equation
   51,838 : 111,848 = 111,848 : x
2. Step 2: Convert to fraction form
   51,838/111,848 = 111,848/x
3. Step 3: Cross multiply
   51,838x = 111,848 × 111,848
4. Step 4: Simplify right side
   51,838x = 12,509,975,104
5. Step 5: Solve for x
   x = 12,509,975,104/51,838
6. Step 6: Final answer
   x = 241,328.27