Finding the Third Proportional to 46,921 and 102,105

Step by Step Solution

1. Step 1: Write the proportion equation
   46,921 : 102,105 = 102,105 : x
2. Step 2: Convert to fraction form
   46,921/102,105 = 102,105/x
3. Step 3: Cross multiply
   46,921x = 102,105 × 102,105
4. Step 4: Simplify right side
   46,921x = 10,425,431,025
5. Step 5: Solve for x
   x = 10,425,431,025/46,921
6. Step 6: Final answer
   x = 222,191.15