Finding the Third Proportional to 269,839.50 and 389,837.25

Step by Step Solution

1. Step 1: Write the proportion equation
   269,839.50 : 389,837.25 = 389,837.25 : x
2. Step 2: Convert to fraction form
   269,839.50/389,837.25 = 389,837.25/x
3. Step 3: Cross multiply
   269,839.50x = 389,837.25 × 389,837.25
4. Step 4: Simplify right side
   269,839.50x = 151,973,081,487.56
5. Step 5: Solve for x
   x = 151,973,081,487.56/269,839.50
6. Step 6: Final answer
   x = 563,198.05