Finding the Third Proportional to 40,508 and 85,111

Step by Step Solution

1. Step 1: Write the proportion equation
   40,508 : 85,111 = 85,111 : x
2. Step 2: Convert to fraction form
   40,508/85,111 = 85,111/x
3. Step 3: Cross multiply
   40,508x = 85,111 × 85,111
4. Step 4: Simplify right side
   40,508x = 7,243,882,321
5. Step 5: Solve for x
   x = 7,243,882,321/40,508
6. Step 6: Final answer
   x = 178,825.97