Finding the Third Proportional to 169,316 and 259,401

Step by Step Solution

1. Step 1: Write the proportion equation
   169,316 : 259,401 = 259,401 : x
2. Step 2: Convert to fraction form
   169,316/259,401 = 259,401/x
3. Step 3: Cross multiply
   169,316x = 259,401 × 259,401
4. Step 4: Simplify right side
   169,316x = 67,288,878,801
5. Step 5: Solve for x
   x = 67,288,878,801/169,316
6. Step 6: Final answer
   x = 397,415.95