Finding the Third Proportional to 103,667 and 146,661

Step by Step Solution

1. Step 1: Write the proportion equation
   103,667 : 146,661 = 146,661 : x
2. Step 2: Convert to fraction form
   103,667/146,661 = 146,661/x
3. Step 3: Cross multiply
   103,667x = 146,661 × 146,661
4. Step 4: Simplify right side
   103,667x = 21,509,448,921
5. Step 5: Solve for x
   x = 21,509,448,921/103,667
6. Step 6: Final answer
   x = 207,485.98