Finding the Third Proportional to 338,105.25 and 713,936.25

Step by Step Solution

1. Step 1: Write the proportion equation
   338,105.25 : 713,936.25 = 713,936.25 : x
2. Step 2: Convert to fraction form
   338,105.25/713,936.25 = 713,936.25/x
3. Step 3: Cross multiply
   338,105.25x = 713,936.25 × 713,936.25
4. Step 4: Simplify right side
   338,105.25x = 509,704,969,064.06
5. Step 5: Solve for x
   x = 509,704,969,064.06/338,105.25
6. Step 6: Final answer
   x = 1,507,533.44