Finding the Third Proportional to 137,816 and 284,488

Step by Step Solution

1. Step 1: Write the proportion equation
   137,816 : 284,488 = 284,488 : x
2. Step 2: Convert to fraction form
   137,816/284,488 = 284,488/x
3. Step 3: Cross multiply
   137,816x = 284,488 × 284,488
4. Step 4: Simplify right side
   137,816x = 80,933,422,144
5. Step 5: Solve for x
   x = 80,933,422,144/137,816
6. Step 6: Final answer
   x = 587,257.08