Finding the Third Proportional to 321,417 and 475,564.50

Step by Step Solution

1. Step 1: Write the proportion equation
   321,417 : 475,564.50 = 475,564.50 : x
2. Step 2: Convert to fraction form
   321,417/475,564.50 = 475,564.50/x
3. Step 3: Cross multiply
   321,417x = 475,564.50 × 475,564.50
4. Step 4: Simplify right side
   321,417x = 226,161,593,660.25
5. Step 5: Solve for x
   x = 226,161,593,660.25/321,417
6. Step 6: Final answer
   x = 703,639.18