Finding the Third Proportional to 85,204 and 179,222

Step by Step Solution

1. Step 1: Write the proportion equation
   85,204 : 179,222 = 179,222 : x
2. Step 2: Convert to fraction form
   85,204/179,222 = 179,222/x
3. Step 3: Cross multiply
   85,204x = 179,222 × 179,222
4. Step 4: Simplify right side
   85,204x = 32,120,525,284
5. Step 5: Solve for x
   x = 32,120,525,284/85,204
6. Step 6: Final answer
   x = 376,983.77