Finding the Third Proportional to 103,665 and 146,658

Step by Step Solution

1. Step 1: Write the proportion equation
   103,665 : 146,658 = 146,658 : x
2. Step 2: Convert to fraction form
   103,665/146,658 = 146,658/x
3. Step 3: Cross multiply
   103,665x = 146,658 × 146,658
4. Step 4: Simplify right side
   103,665x = 21,508,568,964
5. Step 5: Solve for x
   x = 21,508,568,964/103,665
6. Step 6: Final answer
   x = 207,481.49