Finding the Third Proportional to 565,578 and 1,189,326

Step by Step Solution

1. Step 1: Write the proportion equation
   565,578 : 1,189,326 = 1,189,326 : x
2. Step 2: Convert to fraction form
   565,578/1,189,326 = 1,189,326/x
3. Step 3: Cross multiply
   565,578x = 1,189,326 × 1,189,326
4. Step 4: Simplify right side
   565,578x = 1,414,496,334,276
5. Step 5: Solve for x
   x = 1,414,496,334,276/565,578
6. Step 6: Final answer
   x = 2,500,974.82