Finding the Third Proportional to 82,058 and 175,780

Step by Step Solution

1. Step 1: Write the proportion equation
   82,058 : 175,780 = 175,780 : x
2. Step 2: Convert to fraction form
   82,058/175,780 = 175,780/x
3. Step 3: Cross multiply
   82,058x = 175,780 × 175,780
4. Step 4: Simplify right side
   82,058x = 30,898,608,400
5. Step 5: Solve for x
   x = 30,898,608,400/82,058
6. Step 6: Final answer
   x = 376,545.96