Finding the Third Proportional to 89,003 and 181,311

Step by Step Solution

1. Step 1: Write the proportion equation
   89,003 : 181,311 = 181,311 : x
2. Step 2: Convert to fraction form
   89,003/181,311 = 181,311/x
3. Step 3: Cross multiply
   89,003x = 181,311 × 181,311
4. Step 4: Simplify right side
   89,003x = 32,873,678,721
5. Step 5: Solve for x
   x = 32,873,678,721/89,003
6. Step 6: Final answer
   x = 369,354.73