Finding the Third Proportional to 352,605 and 521,496

Step by Step Solution

1. Step 1: Write the proportion equation
   352,605 : 521,496 = 521,496 : x
2. Step 2: Convert to fraction form
   352,605/521,496 = 521,496/x
3. Step 3: Cross multiply
   352,605x = 521,496 × 521,496
4. Step 4: Simplify right side
   352,605x = 271,958,078,016
5. Step 5: Solve for x
   x = 271,958,078,016/352,605
6. Step 6: Final answer
   x = 771,282.53