Finding the Third Proportional to 47,662 and 104,212

Step by Step Solution

1. Step 1: Write the proportion equation
   47,662 : 104,212 = 104,212 : x
2. Step 2: Convert to fraction form
   47,662/104,212 = 104,212/x
3. Step 3: Cross multiply
   47,662x = 104,212 × 104,212
4. Step 4: Simplify right side
   47,662x = 10,860,140,944
5. Step 5: Solve for x
   x = 10,860,140,944/47,662
6. Step 6: Final answer
   x = 227,857.43