Finding the Third Proportional to 202,496.50 and 321,830

Step by Step Solution

1. Step 1: Write the proportion equation
   202,496.50 : 321,830 = 321,830 : x
2. Step 2: Convert to fraction form
   202,496.50/321,830 = 321,830/x
3. Step 3: Cross multiply
   202,496.50x = 321,830 × 321,830
4. Step 4: Simplify right side
   202,496.50x = 103,574,548,900
5. Step 5: Solve for x
   x = 103,574,548,900/202,496.50
6. Step 6: Final answer
   x = 511,488.09