Finding the Third Proportional to 301,031.50 and 412,796.50

Step by Step Solution

1. Step 1: Write the proportion equation
   301,031.50 : 412,796.50 = 412,796.50 : x
2. Step 2: Convert to fraction form
   301,031.50/412,796.50 = 412,796.50/x
3. Step 3: Cross multiply
   301,031.50x = 412,796.50 × 412,796.50
4. Step 4: Simplify right side
   301,031.50x = 170,400,950,412.25
5. Step 5: Solve for x
   x = 170,400,950,412.25/301,031.50
6. Step 6: Final answer
   x = 566,056.88