Finding the Third Proportional to 47,817 and 105,279

Step by Step Solution

1. Step 1: Write the proportion equation
   47,817 : 105,279 = 105,279 : x
2. Step 2: Convert to fraction form
   47,817/105,279 = 105,279/x
3. Step 3: Cross multiply
   47,817x = 105,279 × 105,279
4. Step 4: Simplify right side
   47,817x = 11,083,667,841
5. Step 5: Solve for x
   x = 11,083,667,841/47,817
6. Step 6: Final answer
   x = 231,793.46