Finding the Third Proportional to 150,918 and 204,233.25

Step by Step Solution

1. Step 1: Write the proportion equation
   150,918 : 204,233.25 = 204,233.25 : x
2. Step 2: Convert to fraction form
   150,918/204,233.25 = 204,233.25/x
3. Step 3: Cross multiply
   150,918x = 204,233.25 × 204,233.25
4. Step 4: Simplify right side
   150,918x = 41,711,220,405.56
5. Step 5: Solve for x
   x = 41,711,220,405.56/150,918
6. Step 6: Final answer
   x = 276,383.34