Finding the Third Proportional to 441,716 and 588,510

Step by Step Solution

1. Step 1: Write the proportion equation
   441,716 : 588,510 = 588,510 : x
2. Step 2: Convert to fraction form
   441,716/588,510 = 588,510/x
3. Step 3: Cross multiply
   441,716x = 588,510 × 588,510
4. Step 4: Simplify right side
   441,716x = 346,344,020,100
5. Step 5: Solve for x
   x = 346,344,020,100/441,716
6. Step 6: Final answer
   x = 784,087.56