Finding the Third Proportional to 150,264 and 224,928

Step by Step Solution

1. Step 1: Write the proportion equation
   150,264 : 224,928 = 224,928 : x
2. Step 2: Convert to fraction form
   150,264/224,928 = 224,928/x
3. Step 3: Cross multiply
   150,264x = 224,928 × 224,928
4. Step 4: Simplify right side
   150,264x = 50,592,605,184
5. Step 5: Solve for x
   x = 50,592,605,184/150,264
6. Step 6: Final answer
   x = 336,691.46