Finding the Third Proportional to 65,478 and 140,514

Step by Step Solution

1. Step 1: Write the proportion equation
   65,478 : 140,514 = 140,514 : x
2. Step 2: Convert to fraction form
   65,478/140,514 = 140,514/x
3. Step 3: Cross multiply
   65,478x = 140,514 × 140,514
4. Step 4: Simplify right side
   65,478x = 19,744,184,196
5. Step 5: Solve for x
   x = 19,744,184,196/65,478
6. Step 6: Final answer
   x = 301,539.21