Finding the Third Proportional to 381,451 and 560,499

Step by Step Solution

1. Step 1: Write the proportion equation
   381,451 : 560,499 = 560,499 : x
2. Step 2: Convert to fraction form
   381,451/560,499 = 560,499/x
3. Step 3: Cross multiply
   381,451x = 560,499 × 560,499
4. Step 4: Simplify right side
   381,451x = 314,159,129,001
5. Step 5: Solve for x
   x = 314,159,129,001/381,451
6. Step 6: Final answer
   x = 823,589.74