Finding the Third Proportional to 40,808 and 86,514

Step by Step Solution

1. Step 1: Write the proportion equation
   40,808 : 86,514 = 86,514 : x
2. Step 2: Convert to fraction form
   40,808/86,514 = 86,514/x
3. Step 3: Cross multiply
   40,808x = 86,514 × 86,514
4. Step 4: Simplify right side
   40,808x = 7,484,672,196
5. Step 5: Solve for x
   x = 7,484,672,196/40,808
6. Step 6: Final answer
   x = 183,411.88