Finding the Third Proportional to 81,166 and 175,264

Step by Step Solution

1. Step 1: Write the proportion equation
   81,166 : 175,264 = 175,264 : x
2. Step 2: Convert to fraction form
   81,166/175,264 = 175,264/x
3. Step 3: Cross multiply
   81,166x = 175,264 × 175,264
4. Step 4: Simplify right side
   81,166x = 30,717,469,696
5. Step 5: Solve for x
   x = 30,717,469,696/81,166
6. Step 6: Final answer
   x = 378,452.43