Finding the Third Proportional to 205,636 and 495,386

Step by Step Solution

1. Step 1: Write the proportion equation
   205,636 : 495,386 = 495,386 : x
2. Step 2: Convert to fraction form
   205,636/495,386 = 495,386/x
3. Step 3: Cross multiply
   205,636x = 495,386 × 495,386
4. Step 4: Simplify right side
   205,636x = 245,407,288,996
5. Step 5: Solve for x
   x = 245,407,288,996/205,636
6. Step 6: Final answer
   x = 1,193,406.26