Finding the Third Proportional to 181,264 and 275,892

Step by Step Solution

1. Step 1: Write the proportion equation
   181,264 : 275,892 = 275,892 : x
2. Step 2: Convert to fraction form
   181,264/275,892 = 275,892/x
3. Step 3: Cross multiply
   181,264x = 275,892 × 275,892
4. Step 4: Simplify right side
   181,264x = 76,116,395,664
5. Step 5: Solve for x
   x = 76,116,395,664/181,264
6. Step 6: Final answer
   x = 419,920.09