Finding the Third Proportional to 301,692 and 447,321

Step by Step Solution

1. Step 1: Write the proportion equation
   301,692 : 447,321 = 447,321 : x
2. Step 2: Convert to fraction form
   301,692/447,321 = 447,321/x
3. Step 3: Cross multiply
   301,692x = 447,321 × 447,321
4. Step 4: Simplify right side
   301,692x = 200,096,077,041
5. Step 5: Solve for x
   x = 200,096,077,041/301,692
6. Step 6: Final answer
   x = 663,246.21