Finding the Third Proportional to 412,861 and 581,384

Step by Step Solution

1. Step 1: Write the proportion equation
   412,861 : 581,384 = 581,384 : x
2. Step 2: Convert to fraction form
   412,861/581,384 = 581,384/x
3. Step 3: Cross multiply
   412,861x = 581,384 × 581,384
4. Step 4: Simplify right side
   412,861x = 338,007,355,456
5. Step 5: Solve for x
   x = 338,007,355,456/412,861
6. Step 6: Final answer
   x = 818,695.29