Finding the Third Proportional to 214,404 and 315,182

Step by Step Solution

1. Step 1: Write the proportion equation
   214,404 : 315,182 = 315,182 : x
2. Step 2: Convert to fraction form
   214,404/315,182 = 315,182/x
3. Step 3: Cross multiply
   214,404x = 315,182 × 315,182
4. Step 4: Simplify right side
   214,404x = 99,339,693,124
5. Step 5: Solve for x
   x = 99,339,693,124/214,404
6. Step 6: Final answer
   x = 463,329.48