Finding the Third Proportional to 40,940 and 89,506

Step by Step Solution

1. Step 1: Write the proportion equation
   40,940 : 89,506 = 89,506 : x
2. Step 2: Convert to fraction form
   40,940/89,506 = 89,506/x
3. Step 3: Cross multiply
   40,940x = 89,506 × 89,506
4. Step 4: Simplify right side
   40,940x = 8,011,324,036
5. Step 5: Solve for x
   x = 8,011,324,036/40,940
6. Step 6: Final answer
   x = 195,684.51