Finding the Third Proportional to 166,605 and 359,820

Step by Step Solution

1. Step 1: Write the proportion equation
   166,605 : 359,820 = 359,820 : x
2. Step 2: Convert to fraction form
   166,605/359,820 = 359,820/x
3. Step 3: Cross multiply
   166,605x = 359,820 × 359,820
4. Step 4: Simplify right side
   166,605x = 129,470,432,400
5. Step 5: Solve for x
   x = 129,470,432,400/166,605
6. Step 6: Final answer
   x = 777,110.13