Finding the Third Proportional to 47,821 and 105,292

Step by Step Solution

1. Step 1: Write the proportion equation
   47,821 : 105,292 = 105,292 : x
2. Step 2: Convert to fraction form
   47,821/105,292 = 105,292/x
3. Step 3: Cross multiply
   47,821x = 105,292 × 105,292
4. Step 4: Simplify right side
   47,821x = 11,086,405,264
5. Step 5: Solve for x
   x = 11,086,405,264/47,821
6. Step 6: Final answer
   x = 231,831.31