Finding the Third Proportional to 164,455 and 359,666

Step by Step Solution

1. Step 1: Write the proportion equation
   164,455 : 359,666 = 359,666 : x
2. Step 2: Convert to fraction form
   164,455/359,666 = 359,666/x
3. Step 3: Cross multiply
   164,455x = 359,666 × 359,666
4. Step 4: Simplify right side
   164,455x = 129,359,631,556
5. Step 5: Solve for x
   x = 129,359,631,556/164,455
6. Step 6: Final answer
   x = 786,595.92