Finding the Third Proportional to 89,821 and 149,707.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,821 : 149,707.50 = 149,707.50 : x
2. Step 2: Convert to fraction form
   89,821/149,707.50 = 149,707.50/x
3. Step 3: Cross multiply
   89,821x = 149,707.50 × 149,707.50
4. Step 4: Simplify right side
   89,821x = 22,412,335,556.25
5. Step 5: Solve for x
   x = 22,412,335,556.25/89,821
6. Step 6: Final answer
   x = 249,522.22