Finding the Third Proportional to 89,830 and 149,707

Step by Step Solution

1. Step 1: Write the proportion equation
   89,830 : 149,707 = 149,707 : x
2. Step 2: Convert to fraction form
   89,830/149,707 = 149,707/x
3. Step 3: Cross multiply
   89,830x = 149,707 × 149,707
4. Step 4: Simplify right side
   89,830x = 22,412,185,849
5. Step 5: Solve for x
   x = 22,412,185,849/89,830
6. Step 6: Final answer
   x = 249,495.56