Finding the Third Proportional to 89,809 and 149,676

Step by Step Solution

1. Step 1: Write the proportion equation
   89,809 : 149,676 = 149,676 : x
2. Step 2: Convert to fraction form
   89,809/149,676 = 149,676/x
3. Step 3: Cross multiply
   89,809x = 149,676 × 149,676
4. Step 4: Simplify right side
   89,809x = 22,402,904,976
5. Step 5: Solve for x
   x = 22,402,904,976/89,809
6. Step 6: Final answer
   x = 249,450.56