Finding the Third Proportional to 282,870 and 389,259

Step by Step Solution

1. Step 1: Write the proportion equation
   282,870 : 389,259 = 389,259 : x
2. Step 2: Convert to fraction form
   282,870/389,259 = 389,259/x
3. Step 3: Cross multiply
   282,870x = 389,259 × 389,259
4. Step 4: Simplify right side
   282,870x = 151,522,569,081
5. Step 5: Solve for x
   x = 151,522,569,081/282,870
6. Step 6: Final answer
   x = 535,661.50