Finding the Third Proportional to 869,784 and 1,764,024

Step by Step Solution

1. Step 1: Write the proportion equation
   869,784 : 1,764,024 = 1,764,024 : x
2. Step 2: Convert to fraction form
   869,784/1,764,024 = 1,764,024/x
3. Step 3: Cross multiply
   869,784x = 1,764,024 × 1,764,024
4. Step 4: Simplify right side
   869,784x = 3,111,780,672,576
5. Step 5: Solve for x
   x = 3,111,780,672,576/869,784
6. Step 6: Final answer
   x = 3,577,647.64