Finding the Third Proportional to 118,193 and 181,665

Step by Step Solution

1. Step 1: Write the proportion equation
   118,193 : 181,665 = 181,665 : x
2. Step 2: Convert to fraction form
   118,193/181,665 = 181,665/x
3. Step 3: Cross multiply
   118,193x = 181,665 × 181,665
4. Step 4: Simplify right side
   118,193x = 33,002,172,225
5. Step 5: Solve for x
   x = 33,002,172,225/118,193
6. Step 6: Final answer
   x = 279,222.73