Finding the Third Proportional to 321,859.50 and 472,933.50

Step by Step Solution

1. Step 1: Write the proportion equation
   321,859.50 : 472,933.50 = 472,933.50 : x
2. Step 2: Convert to fraction form
   321,859.50/472,933.50 = 472,933.50/x
3. Step 3: Cross multiply
   321,859.50x = 472,933.50 × 472,933.50
4. Step 4: Simplify right side
   321,859.50x = 223,666,095,422.25
5. Step 5: Solve for x
   x = 223,666,095,422.25/321,859.50
6. Step 6: Final answer
   x = 694,918.42