Finding the Third Proportional to 359,938 and 782,012

Step by Step Solution

1. Step 1: Write the proportion equation
   359,938 : 782,012 = 782,012 : x
2. Step 2: Convert to fraction form
   359,938/782,012 = 782,012/x
3. Step 3: Cross multiply
   359,938x = 782,012 × 782,012
4. Step 4: Simplify right side
   359,938x = 611,542,768,144
5. Step 5: Solve for x
   x = 611,542,768,144/359,938
6. Step 6: Final answer
   x = 1,699,022.52