Finding the Third Proportional to 83,422 and 179,966

Step by Step Solution

1. Step 1: Write the proportion equation
   83,422 : 179,966 = 179,966 : x
2. Step 2: Convert to fraction form
   83,422/179,966 = 179,966/x
3. Step 3: Cross multiply
   83,422x = 179,966 × 179,966
4. Step 4: Simplify right side
   83,422x = 32,387,761,156
5. Step 5: Solve for x
   x = 32,387,761,156/83,422
6. Step 6: Final answer
   x = 388,240.05