Finding the Third Proportional to 76,698 and 164,325

Step by Step Solution

1. Step 1: Write the proportion equation
   76,698 : 164,325 = 164,325 : x
2. Step 2: Convert to fraction form
   76,698/164,325 = 164,325/x
3. Step 3: Cross multiply
   76,698x = 164,325 × 164,325
4. Step 4: Simplify right side
   76,698x = 27,002,705,625
5. Step 5: Solve for x
   x = 27,002,705,625/76,698
6. Step 6: Final answer
   x = 352,065.32