Finding the Third Proportional to 140,537 and 224,778

Step by Step Solution

1. Step 1: Write the proportion equation
   140,537 : 224,778 = 224,778 : x
2. Step 2: Convert to fraction form
   140,537/224,778 = 224,778/x
3. Step 3: Cross multiply
   140,537x = 224,778 × 224,778
4. Step 4: Simplify right side
   140,537x = 50,525,149,284
5. Step 5: Solve for x
   x = 50,525,149,284/140,537
6. Step 6: Final answer
   x = 359,514.93