Finding the Third Proportional to 51,019 and 108,215

Step by Step Solution

1. Step 1: Write the proportion equation
   51,019 : 108,215 = 108,215 : x
2. Step 2: Convert to fraction form
   51,019/108,215 = 108,215/x
3. Step 3: Cross multiply
   51,019x = 108,215 × 108,215
4. Step 4: Simplify right side
   51,019x = 11,710,486,225
5. Step 5: Solve for x
   x = 11,710,486,225/51,019
6. Step 6: Final answer
   x = 229,531.87