Finding the Third Proportional to 299,269.50 and 646,018.50

Step by Step Solution

1. Step 1: Write the proportion equation
   299,269.50 : 646,018.50 = 646,018.50 : x
2. Step 2: Convert to fraction form
   299,269.50/646,018.50 = 646,018.50/x
3. Step 3: Cross multiply
   299,269.50x = 646,018.50 × 646,018.50
4. Step 4: Simplify right side
   299,269.50x = 417,339,902,342.25
5. Step 5: Solve for x
   x = 417,339,902,342.25/299,269.50
6. Step 6: Final answer
   x = 1,394,528.69