Finding the Third Proportional to 301,689 and 447,314.63

Step by Step Solution

1. Step 1: Write the proportion equation
   301,689 : 447,314.63 = 447,314.63 : x
2. Step 2: Convert to fraction form
   301,689/447,314.63 = 447,314.63/x
3. Step 3: Cross multiply
   301,689x = 447,314.63 × 447,314.63
4. Step 4: Simplify right side
   301,689x = 200,090,373,738.89
5. Step 5: Solve for x
   x = 200,090,373,738.89/301,689
6. Step 6: Final answer
   x = 663,233.91