Finding the Third Proportional to 78,796 and 164,240

Step by Step Solution

1. Step 1: Write the proportion equation
   78,796 : 164,240 = 164,240 : x
2. Step 2: Convert to fraction form
   78,796/164,240 = 164,240/x
3. Step 3: Cross multiply
   78,796x = 164,240 × 164,240
4. Step 4: Simplify right side
   78,796x = 26,974,777,600
5. Step 5: Solve for x
   x = 26,974,777,600/78,796
6. Step 6: Final answer
   x = 342,336.89