Finding the Third Proportional to 82,174 and 177,010

Step by Step Solution

1. Step 1: Write the proportion equation
   82,174 : 177,010 = 177,010 : x
2. Step 2: Convert to fraction form
   82,174/177,010 = 177,010/x
3. Step 3: Cross multiply
   82,174x = 177,010 × 177,010
4. Step 4: Simplify right side
   82,174x = 31,332,540,100
5. Step 5: Solve for x
   x = 31,332,540,100/82,174
6. Step 6: Final answer
   x = 381,295.06