Finding the Third Proportional to 181,440 and 384,510

Step by Step Solution

1. Step 1: Write the proportion equation
   181,440 : 384,510 = 384,510 : x
2. Step 2: Convert to fraction form
   181,440/384,510 = 384,510/x
3. Step 3: Cross multiply
   181,440x = 384,510 × 384,510
4. Step 4: Simplify right side
   181,440x = 147,847,940,100
5. Step 5: Solve for x
   x = 147,847,940,100/181,440
6. Step 6: Final answer
   x = 814,858.58