Finding the Third Proportional to 82,692 and 180,132

Step by Step Solution

1. Step 1: Write the proportion equation
   82,692 : 180,132 = 180,132 : x
2. Step 2: Convert to fraction form
   82,692/180,132 = 180,132/x
3. Step 3: Cross multiply
   82,692x = 180,132 × 180,132
4. Step 4: Simplify right side
   82,692x = 32,447,537,424
5. Step 5: Solve for x
   x = 32,447,537,424/82,692
6. Step 6: Final answer
   x = 392,390.28