Finding the Third Proportional to 82,626 and 180,654

Step by Step Solution

1. Step 1: Write the proportion equation
   82,626 : 180,654 = 180,654 : x
2. Step 2: Convert to fraction form
   82,626/180,654 = 180,654/x
3. Step 3: Cross multiply
   82,626x = 180,654 × 180,654
4. Step 4: Simplify right side
   82,626x = 32,635,867,716
5. Step 5: Solve for x
   x = 32,635,867,716/82,626
6. Step 6: Final answer
   x = 394,983.03