Finding the Third Proportional to 104,077 and 215,538

Step by Step Solution

1. Step 1: Write the proportion equation
   104,077 : 215,538 = 215,538 : x
2. Step 2: Convert to fraction form
   104,077/215,538 = 215,538/x
3. Step 3: Cross multiply
   104,077x = 215,538 × 215,538
4. Step 4: Simplify right side
   104,077x = 46,456,629,444
5. Step 5: Solve for x
   x = 46,456,629,444/104,077
6. Step 6: Final answer
   x = 446,367.88