Finding the Third Proportional to 86,678 and 179,164

Step by Step Solution

1. Step 1: Write the proportion equation
   86,678 : 179,164 = 179,164 : x
2. Step 2: Convert to fraction form
   86,678/179,164 = 179,164/x
3. Step 3: Cross multiply
   86,678x = 179,164 × 179,164
4. Step 4: Simplify right side
   86,678x = 32,099,738,896
5. Step 5: Solve for x
   x = 32,099,738,896/86,678
6. Step 6: Final answer
   x = 370,333.17