Finding the Third Proportional to 164,980 and 359,578

Step by Step Solution

1. Step 1: Write the proportion equation
   164,980 : 359,578 = 359,578 : x
2. Step 2: Convert to fraction form
   164,980/359,578 = 359,578/x
3. Step 3: Cross multiply
   164,980x = 359,578 × 359,578
4. Step 4: Simplify right side
   164,980x = 129,296,338,084
5. Step 5: Solve for x
   x = 129,296,338,084/164,980
6. Step 6: Final answer
   x = 783,709.17