Finding the Third Proportional to 269,841 and 389,839.50

Step by Step Solution

1. Step 1: Write the proportion equation
   269,841 : 389,839.50 = 389,839.50 : x
2. Step 2: Convert to fraction form
   269,841/389,839.50 = 389,839.50/x
3. Step 3: Cross multiply
   269,841x = 389,839.50 × 389,839.50
4. Step 4: Simplify right side
   269,841x = 151,974,835,760.25
5. Step 5: Solve for x
   x = 151,974,835,760.25/269,841
6. Step 6: Final answer
   x = 563,201.43