Finding the Third Proportional to 214,390 and 315,162

Step by Step Solution

1. Step 1: Write the proportion equation
   214,390 : 315,162 = 315,162 : x
2. Step 2: Convert to fraction form
   214,390/315,162 = 315,162/x
3. Step 3: Cross multiply
   214,390x = 315,162 × 315,162
4. Step 4: Simplify right side
   214,390x = 99,327,086,244
5. Step 5: Solve for x
   x = 99,327,086,244/214,390
6. Step 6: Final answer
   x = 463,300.93