Finding the Third Proportional to 89,839 and 149,736

Step by Step Solution

1. Step 1: Write the proportion equation
   89,839 : 149,736 = 149,736 : x
2. Step 2: Convert to fraction form
   89,839/149,736 = 149,736/x
3. Step 3: Cross multiply
   89,839x = 149,736 × 149,736
4. Step 4: Simplify right side
   89,839x = 22,420,869,696
5. Step 5: Solve for x
   x = 22,420,869,696/89,839
6. Step 6: Final answer
   x = 249,567.22