Finding the Third Proportional to 51,833 and 111,946

Step by Step Solution

1. Step 1: Write the proportion equation
   51,833 : 111,946 = 111,946 : x
2. Step 2: Convert to fraction form
   51,833/111,946 = 111,946/x
3. Step 3: Cross multiply
   51,833x = 111,946 × 111,946
4. Step 4: Simplify right side
   51,833x = 12,531,906,916
5. Step 5: Solve for x
   x = 12,531,906,916/51,833
6. Step 6: Final answer
   x = 241,774.68