Finding the Third Proportional to 270,442 and 578,404

Step by Step Solution

1. Step 1: Write the proportion equation
   270,442 : 578,404 = 578,404 : x
2. Step 2: Convert to fraction form
   270,442/578,404 = 578,404/x
3. Step 3: Cross multiply
   270,442x = 578,404 × 578,404
4. Step 4: Simplify right side
   270,442x = 334,551,187,216
5. Step 5: Solve for x
   x = 334,551,187,216/270,442
6. Step 6: Final answer
   x = 1,237,053.37