Finding the Third Proportional to 80,714 and 164,706

Step by Step Solution

1. Step 1: Write the proportion equation
   80,714 : 164,706 = 164,706 : x
2. Step 2: Convert to fraction form
   80,714/164,706 = 164,706/x
3. Step 3: Cross multiply
   80,714x = 164,706 × 164,706
4. Step 4: Simplify right side
   80,714x = 27,128,066,436
5. Step 5: Solve for x
   x = 27,128,066,436/80,714
6. Step 6: Final answer
   x = 336,101.13