Finding the Third Proportional to 94,198 and 205,892

Step by Step Solution

1. Step 1: Write the proportion equation
   94,198 : 205,892 = 205,892 : x
2. Step 2: Convert to fraction form
   94,198/205,892 = 205,892/x
3. Step 3: Cross multiply
   94,198x = 205,892 × 205,892
4. Step 4: Simplify right side
   94,198x = 42,391,515,664
5. Step 5: Solve for x
   x = 42,391,515,664/94,198
6. Step 6: Final answer
   x = 450,025.64