Finding the Third Proportional to 140,580 and 285,012

Step by Step Solution

1. Step 1: Write the proportion equation
   140,580 : 285,012 = 285,012 : x
2. Step 2: Convert to fraction form
   140,580/285,012 = 285,012/x
3. Step 3: Cross multiply
   140,580x = 285,012 × 285,012
4. Step 4: Simplify right side
   140,580x = 81,231,840,144
5. Step 5: Solve for x
   x = 81,231,840,144/140,580
6. Step 6: Final answer
   x = 577,833.55