Finding the Third Proportional to 40,905 and 89,201

Step by Step Solution

1. Step 1: Write the proportion equation
   40,905 : 89,201 = 89,201 : x
2. Step 2: Convert to fraction form
   40,905/89,201 = 89,201/x
3. Step 3: Cross multiply
   40,905x = 89,201 × 89,201
4. Step 4: Simplify right side
   40,905x = 7,956,818,401
5. Step 5: Solve for x
   x = 7,956,818,401/40,905
6. Step 6: Final answer
   x = 194,519.46