Finding the Third Proportional to 301,069.50 and 412,833

Step by Step Solution

1. Step 1: Write the proportion equation
   301,069.50 : 412,833 = 412,833 : x
2. Step 2: Convert to fraction form
   301,069.50/412,833 = 412,833/x
3. Step 3: Cross multiply
   301,069.50x = 412,833 × 412,833
4. Step 4: Simplify right side
   301,069.50x = 170,431,085,889
5. Step 5: Solve for x
   x = 170,431,085,889/301,069.50
6. Step 6: Final answer
   x = 566,085.52