Finding the Third Proportional to 101,790 and 217,105

Step by Step Solution

1. Step 1: Write the proportion equation
   101,790 : 217,105 = 217,105 : x
2. Step 2: Convert to fraction form
   101,790/217,105 = 217,105/x
3. Step 3: Cross multiply
   101,790x = 217,105 × 217,105
4. Step 4: Simplify right side
   101,790x = 47,134,581,025
5. Step 5: Solve for x
   x = 47,134,581,025/101,790
6. Step 6: Final answer
   x = 463,057.09