Finding the Third Proportional to 82,271 and 174,923

Step by Step Solution

1. Step 1: Write the proportion equation
   82,271 : 174,923 = 174,923 : x
2. Step 2: Convert to fraction form
   82,271/174,923 = 174,923/x
3. Step 3: Cross multiply
   82,271x = 174,923 × 174,923
4. Step 4: Simplify right side
   82,271x = 30,598,055,929
5. Step 5: Solve for x
   x = 30,598,055,929/82,271
6. Step 6: Final answer
   x = 371,917.88