Finding the Third Proportional to 181,224 and 384,372

Step by Step Solution

1. Step 1: Write the proportion equation
   181,224 : 384,372 = 384,372 : x
2. Step 2: Convert to fraction form
   181,224/384,372 = 384,372/x
3. Step 3: Cross multiply
   181,224x = 384,372 × 384,372
4. Step 4: Simplify right side
   181,224x = 147,741,834,384
5. Step 5: Solve for x
   x = 147,741,834,384/181,224
6. Step 6: Final answer
   x = 815,244.31