Finding the Third Proportional to 47,856 and 104,322

Step by Step Solution

1. Step 1: Write the proportion equation
   47,856 : 104,322 = 104,322 : x
2. Step 2: Convert to fraction form
   47,856/104,322 = 104,322/x
3. Step 3: Cross multiply
   47,856x = 104,322 × 104,322
4. Step 4: Simplify right side
   47,856x = 10,883,079,684
5. Step 5: Solve for x
   x = 10,883,079,684/47,856
6. Step 6: Final answer
   x = 227,413.07