Finding the Third Proportional to 82,590 and 180,956

Step by Step Solution

1. Step 1: Write the proportion equation
   82,590 : 180,956 = 180,956 : x
2. Step 2: Convert to fraction form
   82,590/180,956 = 180,956/x
3. Step 3: Cross multiply
   82,590x = 180,956 × 180,956
4. Step 4: Simplify right side
   82,590x = 32,745,073,936
5. Step 5: Solve for x
   x = 32,745,073,936/82,590
6. Step 6: Final answer
   x = 396,477.47