Finding the Third Proportional to 79,181 and 164,914

Step by Step Solution

1. Step 1: Write the proportion equation
   79,181 : 164,914 = 164,914 : x
2. Step 2: Convert to fraction form
   79,181/164,914 = 164,914/x
3. Step 3: Cross multiply
   79,181x = 164,914 × 164,914
4. Step 4: Simplify right side
   79,181x = 27,196,627,396
5. Step 5: Solve for x
   x = 27,196,627,396/79,181
6. Step 6: Final answer
   x = 343,474.16