Finding the Third Proportional to 83,134 and 172,180

Step by Step Solution

1. Step 1: Write the proportion equation
   83,134 : 172,180 = 172,180 : x
2. Step 2: Convert to fraction form
   83,134/172,180 = 172,180/x
3. Step 3: Cross multiply
   83,134x = 172,180 × 172,180
4. Step 4: Simplify right side
   83,134x = 29,645,952,400
5. Step 5: Solve for x
   x = 29,645,952,400/83,134
6. Step 6: Final answer
   x = 356,604.43