Finding the Third Proportional to 338,022 and 519,610.50

Step by Step Solution

1. Step 1: Write the proportion equation
   338,022 : 519,610.50 = 519,610.50 : x
2. Step 2: Convert to fraction form
   338,022/519,610.50 = 519,610.50/x
3. Step 3: Cross multiply
   338,022x = 519,610.50 × 519,610.50
4. Step 4: Simplify right side
   338,022x = 269,995,071,710.25
5. Step 5: Solve for x
   x = 269,995,071,710.25/338,022
6. Step 6: Final answer
   x = 798,750.00