Finding the Third Proportional to 359,723 and 777,082

Step by Step Solution

1. Step 1: Write the proportion equation
   359,723 : 777,082 = 777,082 : x
2. Step 2: Convert to fraction form
   359,723/777,082 = 777,082/x
3. Step 3: Cross multiply
   359,723x = 777,082 × 777,082
4. Step 4: Simplify right side
   359,723x = 603,856,434,724
5. Step 5: Solve for x
   x = 603,856,434,724/359,723
6. Step 6: Final answer
   x = 1,678,670.63