Finding the Third Proportional to 282,441 and 414,238.50

Step by Step Solution

1. Step 1: Write the proportion equation
   282,441 : 414,238.50 = 414,238.50 : x
2. Step 2: Convert to fraction form
   282,441/414,238.50 = 414,238.50/x
3. Step 3: Cross multiply
   282,441x = 414,238.50 × 414,238.50
4. Step 4: Simplify right side
   282,441x = 171,593,534,882.25
5. Step 5: Solve for x
   x = 171,593,534,882.25/282,441
6. Step 6: Final answer
   x = 607,537.63