Finding the Third Proportional to 301,300.50 and 413,149.50

Step by Step Solution

1. Step 1: Write the proportion equation
   301,300.50 : 413,149.50 = 413,149.50 : x
2. Step 2: Convert to fraction form
   301,300.50/413,149.50 = 413,149.50/x
3. Step 3: Cross multiply
   301,300.50x = 413,149.50 × 413,149.50
4. Step 4: Simplify right side
   301,300.50x = 170,692,509,350.25
5. Step 5: Solve for x
   x = 170,692,509,350.25/301,300.50
6. Step 6: Final answer
   x = 566,519.17