Finding the Third Proportional to 82,659 and 180,060

Step by Step Solution

1. Step 1: Write the proportion equation
   82,659 : 180,060 = 180,060 : x
2. Step 2: Convert to fraction form
   82,659/180,060 = 180,060/x
3. Step 3: Cross multiply
   82,659x = 180,060 × 180,060
4. Step 4: Simplify right side
   82,659x = 32,421,603,600
5. Step 5: Solve for x
   x = 32,421,603,600/82,659
6. Step 6: Final answer
   x = 392,233.19