Finding the Third Proportional to 281,628 and 586,561.50

Step by Step Solution

1. Step 1: Write the proportion equation
   281,628 : 586,561.50 = 586,561.50 : x
2. Step 2: Convert to fraction form
   281,628/586,561.50 = 586,561.50/x
3. Step 3: Cross multiply
   281,628x = 586,561.50 × 586,561.50
4. Step 4: Simplify right side
   281,628x = 344,054,393,282.25
5. Step 5: Solve for x
   x = 344,054,393,282.25/281,628
6. Step 6: Final answer
   x = 1,221,662.59