Finding the Third Proportional to 301,068 and 412,834.50

Step by Step Solution

1. Step 1: Write the proportion equation
   301,068 : 412,834.50 = 412,834.50 : x
2. Step 2: Convert to fraction form
   301,068/412,834.50 = 412,834.50/x
3. Step 3: Cross multiply
   301,068x = 412,834.50 × 412,834.50
4. Step 4: Simplify right side
   301,068x = 170,432,324,390.25
5. Step 5: Solve for x
   x = 170,432,324,390.25/301,068
6. Step 6: Final answer
   x = 566,092.46