Finding the Third Proportional to 451,638 and 699,082

Step by Step Solution

1. Step 1: Write the proportion equation
   451,638 : 699,082 = 699,082 : x
2. Step 2: Convert to fraction form
   451,638/699,082 = 699,082/x
3. Step 3: Cross multiply
   451,638x = 699,082 × 699,082
4. Step 4: Simplify right side
   451,638x = 488,715,642,724
5. Step 5: Solve for x
   x = 488,715,642,724/451,638
6. Step 6: Final answer
   x = 1,082,095.93