Finding the Third Proportional to 83,406 and 179,901

Step by Step Solution

1. Step 1: Write the proportion equation
   83,406 : 179,901 = 179,901 : x
2. Step 2: Convert to fraction form
   83,406/179,901 = 179,901/x
3. Step 3: Cross multiply
   83,406x = 179,901 × 179,901
4. Step 4: Simplify right side
   83,406x = 32,364,369,801
5. Step 5: Solve for x
   x = 32,364,369,801/83,406
6. Step 6: Final answer
   x = 388,034.07