Finding the Third Proportional to 301,694 and 447,322

Step by Step Solution

1. Step 1: Write the proportion equation
   301,694 : 447,322 = 447,322 : x
2. Step 2: Convert to fraction form
   301,694/447,322 = 447,322/x
3. Step 3: Cross multiply
   301,694x = 447,322 × 447,322
4. Step 4: Simplify right side
   301,694x = 200,096,971,684
5. Step 5: Solve for x
   x = 200,096,971,684/301,694
6. Step 6: Final answer
   x = 663,244.78