Finding the Third Proportional to 85,972 and 182,384

Step by Step Solution

1. Step 1: Write the proportion equation
   85,972 : 182,384 = 182,384 : x
2. Step 2: Convert to fraction form
   85,972/182,384 = 182,384/x
3. Step 3: Cross multiply
   85,972x = 182,384 × 182,384
4. Step 4: Simplify right side
   85,972x = 33,263,923,456
5. Step 5: Solve for x
   x = 33,263,923,456/85,972
6. Step 6: Final answer
   x = 386,915.78