Finding the Third Proportional to 82,234 and 176,944

Step by Step Solution

1. Step 1: Write the proportion equation
   82,234 : 176,944 = 176,944 : x
2. Step 2: Convert to fraction form
   82,234/176,944 = 176,944/x
3. Step 3: Cross multiply
   82,234x = 176,944 × 176,944
4. Step 4: Simplify right side
   82,234x = 31,309,179,136
5. Step 5: Solve for x
   x = 31,309,179,136/82,234
6. Step 6: Final answer
   x = 380,732.78