Finding the Third Proportional to 259,804 and 389,742

Step by Step Solution

1. Step 1: Write the proportion equation
   259,804 : 389,742 = 389,742 : x
2. Step 2: Convert to fraction form
   259,804/389,742 = 389,742/x
3. Step 3: Cross multiply
   259,804x = 389,742 × 389,742
4. Step 4: Simplify right side
   259,804x = 151,898,826,564
5. Step 5: Solve for x
   x = 151,898,826,564/259,804
6. Step 6: Final answer
   x = 584,667.00