Finding the Third Proportional to 321,021 and 349,042.50

Step by Step Solution

1. Step 1: Write the proportion equation
   321,021 : 349,042.50 = 349,042.50 : x
2. Step 2: Convert to fraction form
   321,021/349,042.50 = 349,042.50/x
3. Step 3: Cross multiply
   321,021x = 349,042.50 × 349,042.50
4. Step 4: Simplify right side
   321,021x = 121,830,666,806.25
5. Step 5: Solve for x
   x = 121,830,666,806.25/321,021
6. Step 6: Final answer
   x = 379,509.96