Finding the Third Proportional to 85,828 and 181,304

Step by Step Solution

1. Step 1: Write the proportion equation
   85,828 : 181,304 = 181,304 : x
2. Step 2: Convert to fraction form
   85,828/181,304 = 181,304/x
3. Step 3: Cross multiply
   85,828x = 181,304 × 181,304
4. Step 4: Simplify right side
   85,828x = 32,871,140,416
5. Step 5: Solve for x
   x = 32,871,140,416/85,828
6. Step 6: Final answer
   x = 382,988.54