Finding the Third Proportional to 359,978 and 777,682

Step by Step Solution

1. Step 1: Write the proportion equation
   359,978 : 777,682 = 777,682 : x
2. Step 2: Convert to fraction form
   359,978/777,682 = 777,682/x
3. Step 3: Cross multiply
   359,978x = 777,682 × 777,682
4. Step 4: Simplify right side
   359,978x = 604,789,293,124
5. Step 5: Solve for x
   x = 604,789,293,124/359,978
6. Step 6: Final answer
   x = 1,680,072.93