Finding the Third Proportional to 140,564 and 224,820

Step by Step Solution

1. Step 1: Write the proportion equation
   140,564 : 224,820 = 224,820 : x
2. Step 2: Convert to fraction form
   140,564/224,820 = 224,820/x
3. Step 3: Cross multiply
   140,564x = 224,820 × 224,820
4. Step 4: Simplify right side
   140,564x = 50,544,032,400
5. Step 5: Solve for x
   x = 50,544,032,400/140,564
6. Step 6: Final answer
   x = 359,580.21