Finding the Third Proportional to 40,808 and 87,834

Step by Step Solution

1. Step 1: Write the proportion equation
   40,808 : 87,834 = 87,834 : x
2. Step 2: Convert to fraction form
   40,808/87,834 = 87,834/x
3. Step 3: Cross multiply
   40,808x = 87,834 × 87,834
4. Step 4: Simplify right side
   40,808x = 7,714,811,556
5. Step 5: Solve for x
   x = 7,714,811,556/40,808
6. Step 6: Final answer
   x = 189,051.45