Finding the Third Proportional to 82,900 and 180,512

Step by Step Solution

1. Step 1: Write the proportion equation
   82,900 : 180,512 = 180,512 : x
2. Step 2: Convert to fraction form
   82,900/180,512 = 180,512/x
3. Step 3: Cross multiply
   82,900x = 180,512 × 180,512
4. Step 4: Simplify right side
   82,900x = 32,584,582,144
5. Step 5: Solve for x
   x = 32,584,582,144/82,900
6. Step 6: Final answer
   x = 393,058.89