Finding the Third Proportional to 103,667 and 146,084

Step by Step Solution

1. Step 1: Write the proportion equation
   103,667 : 146,084 = 146,084 : x
2. Step 2: Convert to fraction form
   103,667/146,084 = 146,084/x
3. Step 3: Cross multiply
   103,667x = 146,084 × 146,084
4. Step 4: Simplify right side
   103,667x = 21,340,535,056
5. Step 5: Solve for x
   x = 21,340,535,056/103,667
6. Step 6: Final answer
   x = 205,856.59