Finding the Third Proportional to 81,160 and 176,020

Step by Step Solution

1. Step 1: Write the proportion equation
   81,160 : 176,020 = 176,020 : x
2. Step 2: Convert to fraction form
   81,160/176,020 = 176,020/x
3. Step 3: Cross multiply
   81,160x = 176,020 × 176,020
4. Step 4: Simplify right side
   81,160x = 30,983,040,400
5. Step 5: Solve for x
   x = 30,983,040,400/81,160
6. Step 6: Final answer
   x = 381,752.59