Finding the Third Proportional to 103,675 and 146,096

Step by Step Solution

1. Step 1: Write the proportion equation
   103,675 : 146,096 = 146,096 : x
2. Step 2: Convert to fraction form
   103,675/146,096 = 146,096/x
3. Step 3: Cross multiply
   103,675x = 146,096 × 146,096
4. Step 4: Simplify right side
   103,675x = 21,344,041,216
5. Step 5: Solve for x
   x = 21,344,041,216/103,675
6. Step 6: Final answer
   x = 205,874.52