Finding the Third Proportional to 51,928 and 111,312

Step by Step Solution

1. Step 1: Write the proportion equation
   51,928 : 111,312 = 111,312 : x
2. Step 2: Convert to fraction form
   51,928/111,312 = 111,312/x
3. Step 3: Cross multiply
   51,928x = 111,312 × 111,312
4. Step 4: Simplify right side
   51,928x = 12,390,361,344
5. Step 5: Solve for x
   x = 12,390,361,344/51,928
6. Step 6: Final answer
   x = 238,606.56