Finding the Third Proportional to 307,228 and 412,890

Step by Step Solution

1. Step 1: Write the proportion equation
   307,228 : 412,890 = 412,890 : x
2. Step 2: Convert to fraction form
   307,228/412,890 = 412,890/x
3. Step 3: Cross multiply
   307,228x = 412,890 × 412,890
4. Step 4: Simplify right side
   307,228x = 170,478,152,100
5. Step 5: Solve for x
   x = 170,478,152,100/307,228
6. Step 6: Final answer
   x = 554,891.33