Finding the Third Proportional to 164,592 and 359,604

Step by Step Solution

1. Step 1: Write the proportion equation
   164,592 : 359,604 = 359,604 : x
2. Step 2: Convert to fraction form
   164,592/359,604 = 359,604/x
3. Step 3: Cross multiply
   164,592x = 359,604 × 359,604
4. Step 4: Simplify right side
   164,592x = 129,315,036,816
5. Step 5: Solve for x
   x = 129,315,036,816/164,592
6. Step 6: Final answer
   x = 785,670.24