Finding the Third Proportional to 300,536 and 468,048

Step by Step Solution

1. Step 1: Write the proportion equation
   300,536 : 468,048 = 468,048 : x
2. Step 2: Convert to fraction form
   300,536/468,048 = 468,048/x
3. Step 3: Cross multiply
   300,536x = 468,048 × 468,048
4. Step 4: Simplify right side
   300,536x = 219,068,930,304
5. Step 5: Solve for x
   x = 219,068,930,304/300,536
6. Step 6: Final answer
   x = 728,927.42