Finding the Third Proportional to 82,300 and 177,544

Step by Step Solution

1. Step 1: Write the proportion equation
   82,300 : 177,544 = 177,544 : x
2. Step 2: Convert to fraction form
   82,300/177,544 = 177,544/x
3. Step 3: Cross multiply
   82,300x = 177,544 × 177,544
4. Step 4: Simplify right side
   82,300x = 31,521,871,936
5. Step 5: Solve for x
   x = 31,521,871,936/82,300
6. Step 6: Final answer
   x = 383,011.81