Finding the Third Proportional to 359,574 and 782,538

Step by Step Solution

1. Step 1: Write the proportion equation
   359,574 : 782,538 = 782,538 : x
2. Step 2: Convert to fraction form
   359,574/782,538 = 782,538/x
3. Step 3: Cross multiply
   359,574x = 782,538 × 782,538
4. Step 4: Simplify right side
   359,574x = 612,365,721,444
5. Step 5: Solve for x
   x = 612,365,721,444/359,574
6. Step 6: Final answer
   x = 1,703,031.15