Finding the Third Proportional to 100,168.50 and 204,048

Step by Step Solution

1. Step 1: Write the proportion equation
   100,168.50 : 204,048 = 204,048 : x
2. Step 2: Convert to fraction form
   100,168.50/204,048 = 204,048/x
3. Step 3: Cross multiply
   100,168.50x = 204,048 × 204,048
4. Step 4: Simplify right side
   100,168.50x = 41,635,586,304
5. Step 5: Solve for x
   x = 41,635,586,304/100,168.50
6. Step 6: Final answer
   x = 415,655.48