Finding the Third Proportional to 181,446 and 282,105

Step by Step Solution

1. Step 1: Write the proportion equation
   181,446 : 282,105 = 282,105 : x
2. Step 2: Convert to fraction form
   181,446/282,105 = 282,105/x
3. Step 3: Cross multiply
   181,446x = 282,105 × 282,105
4. Step 4: Simplify right side
   181,446x = 79,583,231,025
5. Step 5: Solve for x
   x = 79,583,231,025/181,446
6. Step 6: Final answer
   x = 438,605.60