Finding the Third Proportional to 281,637 and 586,571.63

Step by Step Solution

1. Step 1: Write the proportion equation
   281,637 : 586,571.63 = 586,571.63 : x
2. Step 2: Convert to fraction form
   281,637/586,571.63 = 586,571.63/x
3. Step 3: Cross multiply
   281,637x = 586,571.63 × 586,571.63
4. Step 4: Simplify right side
   281,637x = 344,066,271,255.14
5. Step 5: Solve for x
   x = 344,066,271,255.14/281,637
6. Step 6: Final answer
   x = 1,221,665.73