Finding the Third Proportional to 280,427 and 423,984.50

Step by Step Solution

1. Step 1: Write the proportion equation
   280,427 : 423,984.50 = 423,984.50 : x
2. Step 2: Convert to fraction form
   280,427/423,984.50 = 423,984.50/x
3. Step 3: Cross multiply
   280,427x = 423,984.50 × 423,984.50
4. Step 4: Simplify right side
   280,427x = 179,762,856,240.25
5. Step 5: Solve for x
   x = 179,762,856,240.25/280,427
6. Step 6: Final answer
   x = 641,032.63