Finding the Third Proportional to 46,026 and 100,665

Step by Step Solution

1. Step 1: Write the proportion equation
   46,026 : 100,665 = 100,665 : x
2. Step 2: Convert to fraction form
   46,026/100,665 = 100,665/x
3. Step 3: Cross multiply
   46,026x = 100,665 × 100,665
4. Step 4: Simplify right side
   46,026x = 10,133,442,225
5. Step 5: Solve for x
   x = 10,133,442,225/46,026
6. Step 6: Final answer
   x = 220,167.78