Finding the Third Proportional to 51,111 and 111,755.25

Step by Step Solution

1. Step 1: Write the proportion equation
   51,111 : 111,755.25 = 111,755.25 : x
2. Step 2: Convert to fraction form
   51,111/111,755.25 = 111,755.25/x
3. Step 3: Cross multiply
   51,111x = 111,755.25 × 111,755.25
4. Step 4: Simplify right side
   51,111x = 12,489,235,902.56
5. Step 5: Solve for x
   x = 12,489,235,902.56/51,111
6. Step 6: Final answer
   x = 244,355.15