Finding the Third Proportional to 166,408 and 359,058

Step by Step Solution

1. Step 1: Write the proportion equation
   166,408 : 359,058 = 359,058 : x
2. Step 2: Convert to fraction form
   166,408/359,058 = 359,058/x
3. Step 3: Cross multiply
   166,408x = 359,058 × 359,058
4. Step 4: Simplify right side
   166,408x = 128,922,647,364
5. Step 5: Solve for x
   x = 128,922,647,364/166,408
6. Step 6: Final answer
   x = 774,738.28