Finding the Third Proportional to 82,173 and 177,441

Step by Step Solution

1. Step 1: Write the proportion equation
   82,173 : 177,441 = 177,441 : x
2. Step 2: Convert to fraction form
   82,173/177,441 = 177,441/x
3. Step 3: Cross multiply
   82,173x = 177,441 × 177,441
4. Step 4: Simplify right side
   82,173x = 31,485,308,481
5. Step 5: Solve for x
   x = 31,485,308,481/82,173
6. Step 6: Final answer
   x = 383,158.80