Finding the Third Proportional to 140,514.75 and 205,851.38

Step by Step Solution

1. Step 1: Write the proportion equation
   140,514.75 : 205,851.38 = 205,851.38 : x
2. Step 2: Convert to fraction form
   140,514.75/205,851.38 = 205,851.38/x
3. Step 3: Cross multiply
   140,514.75x = 205,851.38 × 205,851.38
4. Step 4: Simplify right side
   140,514.75x = 42,374,788,589.39
5. Step 5: Solve for x
   x = 42,374,788,589.39/140,514.75
6. Step 6: Final answer
   x = 301,568.26