Finding the Third Proportional to 583,578 and 1,269,405

Step by Step Solution

1. Step 1: Write the proportion equation
   583,578 : 1,269,405 = 1,269,405 : x
2. Step 2: Convert to fraction form
   583,578/1,269,405 = 1,269,405/x
3. Step 3: Cross multiply
   583,578x = 1,269,405 × 1,269,405
4. Step 4: Simplify right side
   583,578x = 1,611,389,054,025
5. Step 5: Solve for x
   x = 1,611,389,054,025/583,578
6. Step 6: Final answer
   x = 2,761,223.10