Finding the Third Proportional to 280,561 and 423,757.50

Step by Step Solution

1. Step 1: Write the proportion equation
   280,561 : 423,757.50 = 423,757.50 : x
2. Step 2: Convert to fraction form
   280,561/423,757.50 = 423,757.50/x
3. Step 3: Cross multiply
   280,561x = 423,757.50 × 423,757.50
4. Step 4: Simplify right side
   280,561x = 179,570,418,806.25
5. Step 5: Solve for x
   x = 179,570,418,806.25/280,561
6. Step 6: Final answer
   x = 640,040.56