Finding the Third Proportional to 164,628 and 359,388

Step by Step Solution

1. Step 1: Write the proportion equation
   164,628 : 359,388 = 359,388 : x
2. Step 2: Convert to fraction form
   164,628/359,388 = 359,388/x
3. Step 3: Cross multiply
   164,628x = 359,388 × 359,388
4. Step 4: Simplify right side
   164,628x = 129,159,734,544
5. Step 5: Solve for x
   x = 129,159,734,544/164,628
6. Step 6: Final answer
   x = 784,555.09