Finding the Third Proportional to 279,984 and 614,404

Step by Step Solution

1. Step 1: Write the proportion equation
   279,984 : 614,404 = 614,404 : x
2. Step 2: Convert to fraction form
   279,984/614,404 = 614,404/x
3. Step 3: Cross multiply
   279,984x = 614,404 × 614,404
4. Step 4: Simplify right side
   279,984x = 377,492,275,216
5. Step 5: Solve for x
   x = 377,492,275,216/279,984
6. Step 6: Final answer
   x = 1,348,263.74