Finding the Third Proportional to 82,032 and 180,216

Step by Step Solution

1. Step 1: Write the proportion equation
   82,032 : 180,216 = 180,216 : x
2. Step 2: Convert to fraction form
   82,032/180,216 = 180,216/x
3. Step 3: Cross multiply
   82,032x = 180,216 × 180,216
4. Step 4: Simplify right side
   82,032x = 32,477,806,656
5. Step 5: Solve for x
   x = 32,477,806,656/82,032
6. Step 6: Final answer
   x = 395,916.31