Finding the Third Proportional to 300,724 and 447,846

Step by Step Solution

1. Step 1: Write the proportion equation
   300,724 : 447,846 = 447,846 : x
2. Step 2: Convert to fraction form
   300,724/447,846 = 447,846/x
3. Step 3: Cross multiply
   300,724x = 447,846 × 447,846
4. Step 4: Simplify right side
   300,724x = 200,566,039,716
5. Step 5: Solve for x
   x = 200,566,039,716/300,724
6. Step 6: Final answer
   x = 666,943.91