Finding the Third Proportional to 51,978 and 112,259

Step by Step Solution

1. Step 1: Write the proportion equation
   51,978 : 112,259 = 112,259 : x
2. Step 2: Convert to fraction form
   51,978/112,259 = 112,259/x
3. Step 3: Cross multiply
   51,978x = 112,259 × 112,259
4. Step 4: Simplify right side
   51,978x = 12,602,083,081
5. Step 5: Solve for x
   x = 12,602,083,081/51,978
6. Step 6: Final answer
   x = 242,450.33