Finding the Third Proportional to 300,500 and 467,976

Step by Step Solution

1. Step 1: Write the proportion equation
   300,500 : 467,976 = 467,976 : x
2. Step 2: Convert to fraction form
   300,500/467,976 = 467,976/x
3. Step 3: Cross multiply
   300,500x = 467,976 × 467,976
4. Step 4: Simplify right side
   300,500x = 219,001,536,576
5. Step 5: Solve for x
   x = 219,001,536,576/300,500
6. Step 6: Final answer
   x = 728,790.47