Finding the Third Proportional to 140,562 and 224,816

Step by Step Solution

1. Step 1: Write the proportion equation
   140,562 : 224,816 = 224,816 : x
2. Step 2: Convert to fraction form
   140,562/224,816 = 224,816/x
3. Step 3: Cross multiply
   140,562x = 224,816 × 224,816
4. Step 4: Simplify right side
   140,562x = 50,542,233,856
5. Step 5: Solve for x
   x = 50,542,233,856/140,562
6. Step 6: Final answer
   x = 359,572.53