Finding the Third Proportional to 40,626 and 89,271

Step by Step Solution

1. Step 1: Write the proportion equation
   40,626 : 89,271 = 89,271 : x
2. Step 2: Convert to fraction form
   40,626/89,271 = 89,271/x
3. Step 3: Cross multiply
   40,626x = 89,271 × 89,271
4. Step 4: Simplify right side
   40,626x = 7,969,311,441
5. Step 5: Solve for x
   x = 7,969,311,441/40,626
6. Step 6: Final answer
   x = 196,162.84