Finding the Third Proportional to 40,786 and 89,606

Step by Step Solution

1. Step 1: Write the proportion equation
   40,786 : 89,606 = 89,606 : x
2. Step 2: Convert to fraction form
   40,786/89,606 = 89,606/x
3. Step 3: Cross multiply
   40,786x = 89,606 × 89,606
4. Step 4: Simplify right side
   40,786x = 8,029,235,236
5. Step 5: Solve for x
   x = 8,029,235,236/40,786
6. Step 6: Final answer
   x = 196,862.53