Finding the Third Proportional to 89,826 and 149,701

Step by Step Solution

1. Step 1: Write the proportion equation
   89,826 : 149,701 = 149,701 : x
2. Step 2: Convert to fraction form
   89,826/149,701 = 149,701/x
3. Step 3: Cross multiply
   89,826x = 149,701 × 149,701
4. Step 4: Simplify right side
   89,826x = 22,410,389,401
5. Step 5: Solve for x
   x = 22,410,389,401/89,826
6. Step 6: Final answer
   x = 249,486.67