Finding the Third Proportional to 89,832 and 137,496

Step by Step Solution

1. Step 1: Write the proportion equation
   89,832 : 137,496 = 137,496 : x
2. Step 2: Convert to fraction form
   89,832/137,496 = 137,496/x
3. Step 3: Cross multiply
   89,832x = 137,496 × 137,496
4. Step 4: Simplify right side
   89,832x = 18,905,150,016
5. Step 5: Solve for x
   x = 18,905,150,016/89,832
6. Step 6: Final answer
   x = 210,450.06