Finding the Third Proportional to 175,628 and 282,834

Step by Step Solution

1. Step 1: Write the proportion equation
   175,628 : 282,834 = 282,834 : x
2. Step 2: Convert to fraction form
   175,628/282,834 = 282,834/x
3. Step 3: Cross multiply
   175,628x = 282,834 × 282,834
4. Step 4: Simplify right side
   175,628x = 79,995,071,556
5. Step 5: Solve for x
   x = 79,995,071,556/175,628
6. Step 6: Final answer
   x = 455,480.17