Finding the Third Proportional to 412,870 and 581,396

Step by Step Solution

1. Step 1: Write the proportion equation
   412,870 : 581,396 = 581,396 : x
2. Step 2: Convert to fraction form
   412,870/581,396 = 581,396/x
3. Step 3: Cross multiply
   412,870x = 581,396 × 581,396
4. Step 4: Simplify right side
   412,870x = 338,021,308,816
5. Step 5: Solve for x
   x = 338,021,308,816/412,870
6. Step 6: Final answer
   x = 818,711.24