Finding the Third Proportional to 563,519 and 825,049

Step by Step Solution

1. Step 1: Write the proportion equation
   563,519 : 825,049 = 825,049 : x
2. Step 2: Convert to fraction form
   563,519/825,049 = 825,049/x
3. Step 3: Cross multiply
   563,519x = 825,049 × 825,049
4. Step 4: Simplify right side
   563,519x = 680,705,852,401
5. Step 5: Solve for x
   x = 680,705,852,401/563,519
6. Step 6: Final answer
   x = 1,207,955.46