Finding the Third Proportional to 357,828 and 501,540

Step by Step Solution

1. Step 1: Write the proportion equation
   357,828 : 501,540 = 501,540 : x
2. Step 2: Convert to fraction form
   357,828/501,540 = 501,540/x
3. Step 3: Cross multiply
   357,828x = 501,540 × 501,540
4. Step 4: Simplify right side
   357,828x = 251,542,371,600
5. Step 5: Solve for x
   x = 251,542,371,600/357,828
6. Step 6: Final answer
   x = 702,970.06