Finding the Third Proportional to 95,856 and 205,590

Step by Step Solution

1. Step 1: Write the proportion equation
   95,856 : 205,590 = 205,590 : x
2. Step 2: Convert to fraction form
   95,856/205,590 = 205,590/x
3. Step 3: Cross multiply
   95,856x = 205,590 × 205,590
4. Step 4: Simplify right side
   95,856x = 42,267,248,100
5. Step 5: Solve for x
   x = 42,267,248,100/95,856
6. Step 6: Final answer
   x = 440,945.25