Finding the Third Proportional to 78,856 and 164,360

Step by Step Solution

1. Step 1: Write the proportion equation
   78,856 : 164,360 = 164,360 : x
2. Step 2: Convert to fraction form
   78,856/164,360 = 164,360/x
3. Step 3: Cross multiply
   78,856x = 164,360 × 164,360
4. Step 4: Simplify right side
   78,856x = 27,014,209,600
5. Step 5: Solve for x
   x = 27,014,209,600/78,856
6. Step 6: Final answer
   x = 342,576.46