Finding the Third Proportional to 321,588 and 472,747.50

Step by Step Solution

1. Step 1: Write the proportion equation
   321,588 : 472,747.50 = 472,747.50 : x
2. Step 2: Convert to fraction form
   321,588/472,747.50 = 472,747.50/x
3. Step 3: Cross multiply
   321,588x = 472,747.50 × 472,747.50
4. Step 4: Simplify right side
   321,588x = 223,490,198,756.25
5. Step 5: Solve for x
   x = 223,490,198,756.25/321,588
6. Step 6: Final answer
   x = 694,958.14