Finding the Third Proportional to 323,601 and 501,519.50

Step by Step Solution

1. Step 1: Write the proportion equation
   323,601 : 501,519.50 = 501,519.50 : x
2. Step 2: Convert to fraction form
   323,601/501,519.50 = 501,519.50/x
3. Step 3: Cross multiply
   323,601x = 501,519.50 × 501,519.50
4. Step 4: Simplify right side
   323,601x = 251,521,808,880.25
5. Step 5: Solve for x
   x = 251,521,808,880.25/323,601
6. Step 6: Final answer
   x = 777,259.06