Finding the Third Proportional to 321,583.50 and 472,740

Step by Step Solution

1. Step 1: Write the proportion equation
   321,583.50 : 472,740 = 472,740 : x
2. Step 2: Convert to fraction form
   321,583.50/472,740 = 472,740/x
3. Step 3: Cross multiply
   321,583.50x = 472,740 × 472,740
4. Step 4: Simplify right side
   321,583.50x = 223,483,107,600
5. Step 5: Solve for x
   x = 223,483,107,600/321,583.50
6. Step 6: Final answer
   x = 694,945.82