Finding the Third Proportional to 89,844 and 137,493

Step by Step Solution

1. Step 1: Write the proportion equation
   89,844 : 137,493 = 137,493 : x
2. Step 2: Convert to fraction form
   89,844/137,493 = 137,493/x
3. Step 3: Cross multiply
   89,844x = 137,493 × 137,493
4. Step 4: Simplify right side
   89,844x = 18,904,325,049
5. Step 5: Solve for x
   x = 18,904,325,049/89,844
6. Step 6: Final answer
   x = 210,412.77