Finding the Third Proportional to 82,656 and 180,054

Step by Step Solution

1. Step 1: Write the proportion equation
   82,656 : 180,054 = 180,054 : x
2. Step 2: Convert to fraction form
   82,656/180,054 = 180,054/x
3. Step 3: Cross multiply
   82,656x = 180,054 × 180,054
4. Step 4: Simplify right side
   82,656x = 32,419,442,916
5. Step 5: Solve for x
   x = 32,419,442,916/82,656
6. Step 6: Final answer
   x = 392,221.29