Finding the Third Proportional to 81,155 and 176,008

Step by Step Solution

1. Step 1: Write the proportion equation
   81,155 : 176,008 = 176,008 : x
2. Step 2: Convert to fraction form
   81,155/176,008 = 176,008/x
3. Step 3: Cross multiply
   81,155x = 176,008 × 176,008
4. Step 4: Simplify right side
   81,155x = 30,978,816,064
5. Step 5: Solve for x
   x = 30,978,816,064/81,155
6. Step 6: Final answer
   x = 381,724.06