Finding the Third Proportional to 225,216 and 495,144

Step by Step Solution

1. Step 1: Write the proportion equation
   225,216 : 495,144 = 495,144 : x
2. Step 2: Convert to fraction form
   225,216/495,144 = 495,144/x
3. Step 3: Cross multiply
   225,216x = 495,144 × 495,144
4. Step 4: Simplify right side
   225,216x = 245,167,580,736
5. Step 5: Solve for x
   x = 245,167,580,736/225,216
6. Step 6: Final answer
   x = 1,088,588.65