Finding the Third Proportional to 132,984 and 285,456

Step by Step Solution

1. Step 1: Write the proportion equation
   132,984 : 285,456 = 285,456 : x
2. Step 2: Convert to fraction form
   132,984/285,456 = 285,456/x
3. Step 3: Cross multiply
   132,984x = 285,456 × 285,456
4. Step 4: Simplify right side
   132,984x = 81,485,127,936
5. Step 5: Solve for x
   x = 81,485,127,936/132,984
6. Step 6: Final answer
   x = 612,743.85