Finding the Third Proportional to 79,091 and 164,743

Step by Step Solution

1. Step 1: Write the proportion equation
   79,091 : 164,743 = 164,743 : x
2. Step 2: Convert to fraction form
   79,091/164,743 = 164,743/x
3. Step 3: Cross multiply
   79,091x = 164,743 × 164,743
4. Step 4: Simplify right side
   79,091x = 27,140,256,049
5. Step 5: Solve for x
   x = 27,140,256,049/79,091
6. Step 6: Final answer
   x = 343,152.27