Finding the Third Proportional to 301,066.50 and 412,830

Step by Step Solution

1. Step 1: Write the proportion equation
   301,066.50 : 412,830 = 412,830 : x
2. Step 2: Convert to fraction form
   301,066.50/412,830 = 412,830/x
3. Step 3: Cross multiply
   301,066.50x = 412,830 × 412,830
4. Step 4: Simplify right side
   301,066.50x = 170,428,608,900
5. Step 5: Solve for x
   x = 170,428,608,900/301,066.50
6. Step 6: Final answer
   x = 566,082.94