Finding the Third Proportional to 82,422 and 180,018

Step by Step Solution

1. Step 1: Write the proportion equation
   82,422 : 180,018 = 180,018 : x
2. Step 2: Convert to fraction form
   82,422/180,018 = 180,018/x
3. Step 3: Cross multiply
   82,422x = 180,018 × 180,018
4. Step 4: Simplify right side
   82,422x = 32,406,480,324
5. Step 5: Solve for x
   x = 32,406,480,324/82,422
6. Step 6: Final answer
   x = 393,177.55