Finding the Third Proportional to 89,839 and 149,718.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,839 : 149,718.50 = 149,718.50 : x
2. Step 2: Convert to fraction form
   89,839/149,718.50 = 149,718.50/x
3. Step 3: Cross multiply
   89,839x = 149,718.50 × 149,718.50
4. Step 4: Simplify right side
   89,839x = 22,415,629,242.25
5. Step 5: Solve for x
   x = 22,415,629,242.25/89,839
6. Step 6: Final answer
   x = 249,508.89