Finding the Third Proportional to 280,978 and 614,412

Step by Step Solution

1. Step 1: Write the proportion equation
   280,978 : 614,412 = 614,412 : x
2. Step 2: Convert to fraction form
   280,978/614,412 = 614,412/x
3. Step 3: Cross multiply
   280,978x = 614,412 × 614,412
4. Step 4: Simplify right side
   280,978x = 377,502,105,744
5. Step 5: Solve for x
   x = 377,502,105,744/280,978
6. Step 6: Final answer
   x = 1,343,529.05