Finding the Third Proportional to 164,401 and 359,242

Step by Step Solution

1. Step 1: Write the proportion equation
   164,401 : 359,242 = 359,242 : x
2. Step 2: Convert to fraction form
   164,401/359,242 = 359,242/x
3. Step 3: Cross multiply
   164,401x = 359,242 × 359,242
4. Step 4: Simplify right side
   164,401x = 129,054,814,564
5. Step 5: Solve for x
   x = 129,054,814,564/164,401
6. Step 6: Final answer
   x = 785,000.18