Finding the Third Proportional to 359,974.50 and 777,678

Step by Step Solution

1. Step 1: Write the proportion equation
   359,974.50 : 777,678 = 777,678 : x
2. Step 2: Convert to fraction form
   359,974.50/777,678 = 777,678/x
3. Step 3: Cross multiply
   359,974.50x = 777,678 × 777,678
4. Step 4: Simplify right side
   359,974.50x = 604,783,071,684
5. Step 5: Solve for x
   x = 604,783,071,684/359,974.50
6. Step 6: Final answer
   x = 1,680,071.98