Finding the Third Proportional to 82,416 and 180,870

Step by Step Solution

1. Step 1: Write the proportion equation
   82,416 : 180,870 = 180,870 : x
2. Step 2: Convert to fraction form
   82,416/180,870 = 180,870/x
3. Step 3: Cross multiply
   82,416x = 180,870 × 180,870
4. Step 4: Simplify right side
   82,416x = 32,713,956,900
5. Step 5: Solve for x
   x = 32,713,956,900/82,416
6. Step 6: Final answer
   x = 396,936.96