Finding the Third Proportional to 78,057 and 164,270

Step by Step Solution

1. Step 1: Write the proportion equation
   78,057 : 164,270 = 164,270 : x
2. Step 2: Convert to fraction form
   78,057/164,270 = 164,270/x
3. Step 3: Cross multiply
   78,057x = 164,270 × 164,270
4. Step 4: Simplify right side
   78,057x = 26,984,632,900
5. Step 5: Solve for x
   x = 26,984,632,900/78,057
6. Step 6: Final answer
   x = 345,704.20