Finding the Third Proportional to 293,996 and 644,039.50

Step by Step Solution

1. Step 1: Write the proportion equation
   293,996 : 644,039.50 = 644,039.50 : x
2. Step 2: Convert to fraction form
   293,996/644,039.50 = 644,039.50/x
3. Step 3: Cross multiply
   293,996x = 644,039.50 × 644,039.50
4. Step 4: Simplify right side
   293,996x = 414,786,877,560.25
5. Step 5: Solve for x
   x = 414,786,877,560.25/293,996
6. Step 6: Final answer
   x = 1,410,858.91