Finding the Third Proportional to 301,689 and 447,314

Step by Step Solution

1. Step 1: Write the proportion equation
   301,689 : 447,314 = 447,314 : x
2. Step 2: Convert to fraction form
   301,689/447,314 = 447,314/x
3. Step 3: Cross multiply
   301,689x = 447,314 × 447,314
4. Step 4: Simplify right side
   301,689x = 200,089,814,596
5. Step 5: Solve for x
   x = 200,089,814,596/301,689
6. Step 6: Final answer
   x = 663,232.05