Finding the Third Proportional to 140,880 and 206,262.38

Step by Step Solution

1. Step 1: Write the proportion equation
   140,880 : 206,262.38 = 206,262.38 : x
2. Step 2: Convert to fraction form
   140,880/206,262.38 = 206,262.38/x
3. Step 3: Cross multiply
   140,880x = 206,262.38 × 206,262.38
4. Step 4: Simplify right side
   140,880x = 42,544,167,340.64
5. Step 5: Solve for x
   x = 42,544,167,340.64/140,880
6. Step 6: Final answer
   x = 301,988.69