Finding the Third Proportional to 359,946 and 782,028

Step by Step Solution

1. Step 1: Write the proportion equation
   359,946 : 782,028 = 782,028 : x
2. Step 2: Convert to fraction form
   359,946/782,028 = 782,028/x
3. Step 3: Cross multiply
   359,946x = 782,028 × 782,028
4. Step 4: Simplify right side
   359,946x = 611,567,792,784
5. Step 5: Solve for x
   x = 611,567,792,784/359,946
6. Step 6: Final answer
   x = 1,699,054.28