Finding the Third Proportional to 195,788 and 282,662

Step by Step Solution

1. Step 1: Write the proportion equation
   195,788 : 282,662 = 282,662 : x
2. Step 2: Convert to fraction form
   195,788/282,662 = 282,662/x
3. Step 3: Cross multiply
   195,788x = 282,662 × 282,662
4. Step 4: Simplify right side
   195,788x = 79,897,806,244
5. Step 5: Solve for x
   x = 79,897,806,244/195,788
6. Step 6: Final answer
   x = 408,083.26