Finding the Third Proportional to 83,382 and 181,452

Step by Step Solution

1. Step 1: Write the proportion equation
   83,382 : 181,452 = 181,452 : x
2. Step 2: Convert to fraction form
   83,382/181,452 = 181,452/x
3. Step 3: Cross multiply
   83,382x = 181,452 × 181,452
4. Step 4: Simplify right side
   83,382x = 32,924,828,304
5. Step 5: Solve for x
   x = 32,924,828,304/83,382
6. Step 6: Final answer
   x = 394,867.34