Finding the Third Proportional to 40,665 and 86,514

Step by Step Solution

1. Step 1: Write the proportion equation
   40,665 : 86,514 = 86,514 : x
2. Step 2: Convert to fraction form
   40,665/86,514 = 86,514/x
3. Step 3: Cross multiply
   40,665x = 86,514 × 86,514
4. Step 4: Simplify right side
   40,665x = 7,484,672,196
5. Step 5: Solve for x
   x = 7,484,672,196/40,665
6. Step 6: Final answer
   x = 184,056.86