Finding the Third Proportional to 300,844 and 447,984

Step by Step Solution

1. Step 1: Write the proportion equation
   300,844 : 447,984 = 447,984 : x
2. Step 2: Convert to fraction form
   300,844/447,984 = 447,984/x
3. Step 3: Cross multiply
   300,844x = 447,984 × 447,984
4. Step 4: Simplify right side
   300,844x = 200,689,664,256
5. Step 5: Solve for x
   x = 200,689,664,256/300,844
6. Step 6: Final answer
   x = 667,088.80