Finding the Third Proportional to 565,576 and 1,189,322

Step by Step Solution

1. Step 1: Write the proportion equation
   565,576 : 1,189,322 = 1,189,322 : x
2. Step 2: Convert to fraction form
   565,576/1,189,322 = 1,189,322/x
3. Step 3: Cross multiply
   565,576x = 1,189,322 × 1,189,322
4. Step 4: Simplify right side
   565,576x = 1,414,486,819,684
5. Step 5: Solve for x
   x = 1,414,486,819,684/565,576
6. Step 6: Final answer
   x = 2,500,966.84