Finding the Third Proportional to 102,856 and 213,904

Step by Step Solution

1. Step 1: Write the proportion equation
   102,856 : 213,904 = 213,904 : x
2. Step 2: Convert to fraction form
   102,856/213,904 = 213,904/x
3. Step 3: Cross multiply
   102,856x = 213,904 × 213,904
4. Step 4: Simplify right side
   102,856x = 45,754,921,216
5. Step 5: Solve for x
   x = 45,754,921,216/102,856
6. Step 6: Final answer
   x = 444,844.45