Finding the Third Proportional to 322,506 and 501,048

Step by Step Solution

1. Step 1: Write the proportion equation
   322,506 : 501,048 = 501,048 : x
2. Step 2: Convert to fraction form
   322,506/501,048 = 501,048/x
3. Step 3: Cross multiply
   322,506x = 501,048 × 501,048
4. Step 4: Simplify right side
   322,506x = 251,049,098,304
5. Step 5: Solve for x
   x = 251,049,098,304/322,506
6. Step 6: Final answer
   x = 778,432.33