Finding the Third Proportional to 359,544 and 780,204

Step by Step Solution

1. Step 1: Write the proportion equation
   359,544 : 780,204 = 780,204 : x
2. Step 2: Convert to fraction form
   359,544/780,204 = 780,204/x
3. Step 3: Cross multiply
   359,544x = 780,204 × 780,204
4. Step 4: Simplify right side
   359,544x = 608,718,281,616
5. Step 5: Solve for x
   x = 608,718,281,616/359,544
6. Step 6: Final answer
   x = 1,693,028.62