Finding the Third Proportional to 102,850 and 213,892

Step by Step Solution

1. Step 1: Write the proportion equation
   102,850 : 213,892 = 213,892 : x
2. Step 2: Convert to fraction form
   102,850/213,892 = 213,892/x
3. Step 3: Cross multiply
   102,850x = 213,892 × 213,892
4. Step 4: Simplify right side
   102,850x = 45,749,787,664
5. Step 5: Solve for x
   x = 45,749,787,664/102,850
6. Step 6: Final answer
   x = 444,820.49