Finding the Third Proportional to 227,424 and 359,856

Step by Step Solution

1. Step 1: Write the proportion equation
   227,424 : 359,856 = 359,856 : x
2. Step 2: Convert to fraction form
   227,424/359,856 = 359,856/x
3. Step 3: Cross multiply
   227,424x = 359,856 × 359,856
4. Step 4: Simplify right side
   227,424x = 129,496,340,736
5. Step 5: Solve for x
   x = 129,496,340,736/227,424
6. Step 6: Final answer
   x = 569,404.90