Finding the Third Proportional to 182,496 and 282,456

Step by Step Solution

1. Step 1: Write the proportion equation
   182,496 : 282,456 = 282,456 : x
2. Step 2: Convert to fraction form
   182,496/282,456 = 282,456/x
3. Step 3: Cross multiply
   182,496x = 282,456 × 282,456
4. Step 4: Simplify right side
   182,496x = 79,781,391,936
5. Step 5: Solve for x
   x = 79,781,391,936/182,496
6. Step 6: Final answer
   x = 437,167.89