Finding the Third Proportional to 300,530 and 468,028

Step by Step Solution

1. Step 1: Write the proportion equation
   300,530 : 468,028 = 468,028 : x
2. Step 2: Convert to fraction form
   300,530/468,028 = 468,028/x
3. Step 3: Cross multiply
   300,530x = 468,028 × 468,028
4. Step 4: Simplify right side
   300,530x = 219,050,208,784
5. Step 5: Solve for x
   x = 219,050,208,784/300,530
6. Step 6: Final answer
   x = 728,879.68