Finding the Third Proportional to 359,554 and 782,504

Step by Step Solution

1. Step 1: Write the proportion equation
   359,554 : 782,504 = 782,504 : x
2. Step 2: Convert to fraction form
   359,554/782,504 = 782,504/x
3. Step 3: Cross multiply
   359,554x = 782,504 × 782,504
4. Step 4: Simplify right side
   359,554x = 612,312,510,016
5. Step 5: Solve for x
   x = 612,312,510,016/359,554
6. Step 6: Final answer
   x = 1,702,977.88