Finding the Third Proportional to 172,935 and 259,404

Step by Step Solution

1. Step 1: Write the proportion equation
   172,935 : 259,404 = 259,404 : x
2. Step 2: Convert to fraction form
   172,935/259,404 = 259,404/x
3. Step 3: Cross multiply
   172,935x = 259,404 × 259,404
4. Step 4: Simplify right side
   172,935x = 67,290,435,216
5. Step 5: Solve for x
   x = 67,290,435,216/172,935
6. Step 6: Final answer
   x = 389,108.25