Finding the Third Proportional to 82,164.38 and 174,922.03

Step by Step Solution

1. Step 1: Write the proportion equation
   82,164.38 : 174,922.03 = 174,922.03 : x
2. Step 2: Convert to fraction form
   82,164.38/174,922.03 = 174,922.03/x
3. Step 3: Cross multiply
   82,164.38x = 174,922.03 × 174,922.03
4. Step 4: Simplify right side
   82,164.38x = 30,597,717,016.63
5. Step 5: Solve for x
   x = 30,597,717,016.63/82,164.38
6. Step 6: Final answer
   x = 372,396.39