Finding the Third Proportional to 140,570 and 224,826

Step by Step Solution

1. Step 1: Write the proportion equation
   140,570 : 224,826 = 224,826 : x
2. Step 2: Convert to fraction form
   140,570/224,826 = 224,826/x
3. Step 3: Cross multiply
   140,570x = 224,826 × 224,826
4. Step 4: Simplify right side
   140,570x = 50,546,730,276
5. Step 5: Solve for x
   x = 50,546,730,276/140,570
6. Step 6: Final answer
   x = 359,584.05