Finding the Third Proportional to 51,834 and 111,840

Step by Step Solution

1. Step 1: Write the proportion equation
   51,834 : 111,840 = 111,840 : x
2. Step 2: Convert to fraction form
   51,834/111,840 = 111,840/x
3. Step 3: Cross multiply
   51,834x = 111,840 × 111,840
4. Step 4: Simplify right side
   51,834x = 12,508,185,600
5. Step 5: Solve for x
   x = 12,508,185,600/51,834
6. Step 6: Final answer
   x = 241,312.37