Finding the Third Proportional to 301,078.50 and 412,854

Step by Step Solution

1. Step 1: Write the proportion equation
   301,078.50 : 412,854 = 412,854 : x
2. Step 2: Convert to fraction form
   301,078.50/412,854 = 412,854/x
3. Step 3: Cross multiply
   301,078.50x = 412,854 × 412,854
4. Step 4: Simplify right side
   301,078.50x = 170,448,425,316
5. Step 5: Solve for x
   x = 170,448,425,316/301,078.50
6. Step 6: Final answer
   x = 566,126.19