Finding the Third Proportional to 89,821.50 and 149,708.25

Step by Step Solution

1. Step 1: Write the proportion equation
   89,821.50 : 149,708.25 = 149,708.25 : x
2. Step 2: Convert to fraction form
   89,821.50/149,708.25 = 149,708.25/x
3. Step 3: Cross multiply
   89,821.50x = 149,708.25 × 149,708.25
4. Step 4: Simplify right side
   89,821.50x = 22,412,560,118.06
5. Step 5: Solve for x
   x = 22,412,560,118.06/89,821.50
6. Step 6: Final answer
   x = 249,523.33