Finding the Third Proportional to 99,277 and 214,105

Step by Step Solution

1. Step 1: Write the proportion equation
   99,277 : 214,105 = 214,105 : x
2. Step 2: Convert to fraction form
   99,277/214,105 = 214,105/x
3. Step 3: Cross multiply
   99,277x = 214,105 × 214,105
4. Step 4: Simplify right side
   99,277x = 45,840,951,025
5. Step 5: Solve for x
   x = 45,840,951,025/99,277
6. Step 6: Final answer
   x = 461,747.95