Finding the Third Proportional to 322,021 and 423,559.50

Step by Step Solution

1. Step 1: Write the proportion equation
   322,021 : 423,559.50 = 423,559.50 : x
2. Step 2: Convert to fraction form
   322,021/423,559.50 = 423,559.50/x
3. Step 3: Cross multiply
   322,021x = 423,559.50 × 423,559.50
4. Step 4: Simplify right side
   322,021x = 179,402,650,040.25
5. Step 5: Solve for x
   x = 179,402,650,040.25/322,021
6. Step 6: Final answer
   x = 557,114.75