Finding the Third Proportional to 82,422 and 179,943

Step by Step Solution

1. Step 1: Write the proportion equation
   82,422 : 179,943 = 179,943 : x
2. Step 2: Convert to fraction form
   82,422/179,943 = 179,943/x
3. Step 3: Cross multiply
   82,422x = 179,943 × 179,943
4. Step 4: Simplify right side
   82,422x = 32,379,483,249
5. Step 5: Solve for x
   x = 32,379,483,249/82,422
6. Step 6: Final answer
   x = 392,850.01