Finding the Third Proportional to 181,434 and 384,468

Step by Step Solution

1. Step 1: Write the proportion equation
   181,434 : 384,468 = 384,468 : x
2. Step 2: Convert to fraction form
   181,434/384,468 = 384,468/x
3. Step 3: Cross multiply
   181,434x = 384,468 × 384,468
4. Step 4: Simplify right side
   181,434x = 147,815,643,024
5. Step 5: Solve for x
   x = 147,815,643,024/181,434
6. Step 6: Final answer
   x = 814,707.51