Finding the Third Proportional to 350,597 and 501,309.50

Step by Step Solution

1. Step 1: Write the proportion equation
   350,597 : 501,309.50 = 501,309.50 : x
2. Step 2: Convert to fraction form
   350,597/501,309.50 = 501,309.50/x
3. Step 3: Cross multiply
   350,597x = 501,309.50 × 501,309.50
4. Step 4: Simplify right side
   350,597x = 251,311,214,790.25
5. Step 5: Solve for x
   x = 251,311,214,790.25/350,597
6. Step 6: Final answer
   x = 716,809.37