Finding the Third Proportional to 40,578 and 87,636

Step by Step Solution

1. Step 1: Write the proportion equation
   40,578 : 87,636 = 87,636 : x
2. Step 2: Convert to fraction form
   40,578/87,636 = 87,636/x
3. Step 3: Cross multiply
   40,578x = 87,636 × 87,636
4. Step 4: Simplify right side
   40,578x = 7,680,068,496
5. Step 5: Solve for x
   x = 7,680,068,496/40,578
6. Step 6: Final answer
   x = 189,266.81