Finding the Third Proportional to 65,514 and 140,377

Step by Step Solution

1. Step 1: Write the proportion equation
   65,514 : 140,377 = 140,377 : x
2. Step 2: Convert to fraction form
   65,514/140,377 = 140,377/x
3. Step 3: Cross multiply
   65,514x = 140,377 × 140,377
4. Step 4: Simplify right side
   65,514x = 19,705,702,129
5. Step 5: Solve for x
   x = 19,705,702,129/65,514
6. Step 6: Final answer
   x = 300,786.12