Finding the Third Proportional to 356,458 and 501,530

Step by Step Solution

1. Step 1: Write the proportion equation
   356,458 : 501,530 = 501,530 : x
2. Step 2: Convert to fraction form
   356,458/501,530 = 501,530/x
3. Step 3: Cross multiply
   356,458x = 501,530 × 501,530
4. Step 4: Simplify right side
   356,458x = 251,532,340,900
5. Step 5: Solve for x
   x = 251,532,340,900/356,458
6. Step 6: Final answer
   x = 705,643.70