Finding the Third Proportional to 253,821 and 601,315.50

Step by Step Solution

1. Step 1: Write the proportion equation
   253,821 : 601,315.50 = 601,315.50 : x
2. Step 2: Convert to fraction form
   253,821/601,315.50 = 601,315.50/x
3. Step 3: Cross multiply
   253,821x = 601,315.50 × 601,315.50
4. Step 4: Simplify right side
   253,821x = 361,580,330,540.25
5. Step 5: Solve for x
   x = 361,580,330,540.25/253,821
6. Step 6: Final answer
   x = 1,424,548.52