Finding the Third Proportional to 151,609.50 and 321,703.50

Step by Step Solution

1. Step 1: Write the proportion equation
   151,609.50 : 321,703.50 = 321,703.50 : x
2. Step 2: Convert to fraction form
   151,609.50/321,703.50 = 321,703.50/x
3. Step 3: Cross multiply
   151,609.50x = 321,703.50 × 321,703.50
4. Step 4: Simplify right side
   151,609.50x = 103,493,141,912.25
5. Step 5: Solve for x
   x = 103,493,141,912.25/151,609.50
6. Step 6: Final answer
   x = 682,629.66