Finding the Third Proportional to 590,444 and 828,510

Step by Step Solution

1. Step 1: Write the proportion equation
   590,444 : 828,510 = 828,510 : x
2. Step 2: Convert to fraction form
   590,444/828,510 = 828,510/x
3. Step 3: Cross multiply
   590,444x = 828,510 × 828,510
4. Step 4: Simplify right side
   590,444x = 686,428,820,100
5. Step 5: Solve for x
   x = 686,428,820,100/590,444
6. Step 6: Final answer
   x = 1,162,563.80