Finding the Third Proportional to 229,869 and 355,027.50

Step by Step Solution

1. Step 1: Write the proportion equation
   229,869 : 355,027.50 = 355,027.50 : x
2. Step 2: Convert to fraction form
   229,869/355,027.50 = 355,027.50/x
3. Step 3: Cross multiply
   229,869x = 355,027.50 × 355,027.50
4. Step 4: Simplify right side
   229,869x = 126,044,525,756.25
5. Step 5: Solve for x
   x = 126,044,525,756.25/229,869
6. Step 6: Final answer
   x = 548,331.99