Finding the Third Proportional to 333,920 and 501,024

Step by Step Solution

1. Step 1: Write the proportion equation
   333,920 : 501,024 = 501,024 : x
2. Step 2: Convert to fraction form
   333,920/501,024 = 501,024/x
3. Step 3: Cross multiply
   333,920x = 501,024 × 501,024
4. Step 4: Simplify right side
   333,920x = 251,025,048,576
5. Step 5: Solve for x
   x = 251,025,048,576/333,920
6. Step 6: Final answer
   x = 751,752.06