Finding the Third Proportional to 128,766 and 285,180

Step by Step Solution

1. Step 1: Write the proportion equation
   128,766 : 285,180 = 285,180 : x
2. Step 2: Convert to fraction form
   128,766/285,180 = 285,180/x
3. Step 3: Cross multiply
   128,766x = 285,180 × 285,180
4. Step 4: Simplify right side
   128,766x = 81,327,632,400
5. Step 5: Solve for x
   x = 81,327,632,400/128,766
6. Step 6: Final answer
   x = 631,592.44