Finding the Third Proportional to 78,640 and 164,570

Step by Step Solution

1. Step 1: Write the proportion equation
   78,640 : 164,570 = 164,570 : x
2. Step 2: Convert to fraction form
   78,640/164,570 = 164,570/x
3. Step 3: Cross multiply
   78,640x = 164,570 × 164,570
4. Step 4: Simplify right side
   78,640x = 27,083,284,900
5. Step 5: Solve for x
   x = 27,083,284,900/78,640
6. Step 6: Final answer
   x = 344,395.79