Finding the Third Proportional to 78,804 and 164,256

Step by Step Solution

1. Step 1: Write the proportion equation
   78,804 : 164,256 = 164,256 : x
2. Step 2: Convert to fraction form
   78,804/164,256 = 164,256/x
3. Step 3: Cross multiply
   78,804x = 164,256 × 164,256
4. Step 4: Simplify right side
   78,804x = 26,980,033,536
5. Step 5: Solve for x
   x = 26,980,033,536/78,804
6. Step 6: Final answer
   x = 342,368.83