Finding the Third Proportional to 82,686 and 180,120

Step by Step Solution

1. Step 1: Write the proportion equation
   82,686 : 180,120 = 180,120 : x
2. Step 2: Convert to fraction form
   82,686/180,120 = 180,120/x
3. Step 3: Cross multiply
   82,686x = 180,120 × 180,120
4. Step 4: Simplify right side
   82,686x = 32,443,214,400
5. Step 5: Solve for x
   x = 32,443,214,400/82,686
6. Step 6: Final answer
   x = 392,366.48