Finding the Third Proportional to 80,514 and 118,309

Step by Step Solution

1. Step 1: Write the proportion equation
   80,514 : 118,309 = 118,309 : x
2. Step 2: Convert to fraction form
   80,514/118,309 = 118,309/x
3. Step 3: Cross multiply
   80,514x = 118,309 × 118,309
4. Step 4: Simplify right side
   80,514x = 13,997,019,481
5. Step 5: Solve for x
   x = 13,997,019,481/80,514
6. Step 6: Final answer
   x = 173,845.78