Finding the Third Proportional to 47,853 and 104,778

Step by Step Solution

1. Step 1: Write the proportion equation
   47,853 : 104,778 = 104,778 : x
2. Step 2: Convert to fraction form
   47,853/104,778 = 104,778/x
3. Step 3: Cross multiply
   47,853x = 104,778 × 104,778
4. Step 4: Simplify right side
   47,853x = 10,978,429,284
5. Step 5: Solve for x
   x = 10,978,429,284/47,853
6. Step 6: Final answer
   x = 229,419.88