Finding the Third Proportional to 301,689 and 447,316

Step by Step Solution

1. Step 1: Write the proportion equation
   301,689 : 447,316 = 447,316 : x
2. Step 2: Convert to fraction form
   301,689/447,316 = 447,316/x
3. Step 3: Cross multiply
   301,689x = 447,316 × 447,316
4. Step 4: Simplify right side
   301,689x = 200,091,603,856
5. Step 5: Solve for x
   x = 200,091,603,856/301,689
6. Step 6: Final answer
   x = 663,237.98