Finding the Third Proportional to 269,709 and 388,507.50

Step by Step Solution

1. Step 1: Write the proportion equation
   269,709 : 388,507.50 = 388,507.50 : x
2. Step 2: Convert to fraction form
   269,709/388,507.50 = 388,507.50/x
3. Step 3: Cross multiply
   269,709x = 388,507.50 × 388,507.50
4. Step 4: Simplify right side
   269,709x = 150,938,077,556.25
5. Step 5: Solve for x
   x = 150,938,077,556.25/269,709
6. Step 6: Final answer
   x = 559,633.08