Finding the Third Proportional to 51,999 and 111,390

Step by Step Solution

1. Step 1: Write the proportion equation
   51,999 : 111,390 = 111,390 : x
2. Step 2: Convert to fraction form
   51,999/111,390 = 111,390/x
3. Step 3: Cross multiply
   51,999x = 111,390 × 111,390
4. Step 4: Simplify right side
   51,999x = 12,407,732,100
5. Step 5: Solve for x
   x = 12,407,732,100/51,999
6. Step 6: Final answer
   x = 238,614.82